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Finding the Fourth Proportional to 5,633.40, 8,450.10 and 5,123.10

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Solution

The fourth proportional to 5,633.40, 8,450.10 and 5,123.10 is: 7,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.40 : 8,450.10 = 5,123.10 : x
  2. Step 2: Convert to fraction form
    5,633.40/8,450.10 = 5,123.10/x
  3. Step 3: Cross multiply
    5,633.40x = 8,450.10 × 5,123.10
  4. Step 4: Simplify right side
    5,633.40x = 43,290,707.31
  5. Step 5: Solve for x
    x = 43,290,707.31/5,633.40
  6. Step 6: Final answer
    x = 7,684.65

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.