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Finding the Fourth Proportional to 5,123.65, 7,069.11 and 3,132.11

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Solution

The fourth proportional to 5,123.65, 7,069.11 and 3,132.11 is: 4,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.65 : 7,069.11 = 3,132.11 : x
  2. Step 2: Convert to fraction form
    5,123.65/7,069.11 = 3,132.11/x
  3. Step 3: Cross multiply
    5,123.65x = 7,069.11 × 3,132.11
  4. Step 4: Simplify right side
    5,123.65x = 22,141,214.46
  5. Step 5: Solve for x
    x = 22,141,214.46/5,123.65
  6. Step 6: Final answer
    x = 4,321.38

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.