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Finding the Fourth Proportional to 5,481, 7,564.19 and 3,123.09

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Solution

The fourth proportional to 5,481, 7,564.19 and 3,123.09 is: 4,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481 : 7,564.19 = 3,123.09 : x
  2. Step 2: Convert to fraction form
    5,481/7,564.19 = 3,123.09/x
  3. Step 3: Cross multiply
    5,481x = 7,564.19 × 3,123.09
  4. Step 4: Simplify right side
    5,481x = 23,623,630.53
  5. Step 5: Solve for x
    x = 23,623,630.53/5,481
  6. Step 6: Final answer
    x = 4,310.09

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Half scale
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Double 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.