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Finding the Fourth Proportional to 10,489.21, 14,475 and 5,773.39

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Solution

The fourth proportional to 10,489.21, 14,475 and 5,773.39 is: 7,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.21 : 14,475 = 5,773.39 : x
  2. Step 2: Convert to fraction form
    10,489.21/14,475 = 5,773.39/x
  3. Step 3: Cross multiply
    10,489.21x = 14,475 × 5,773.39
  4. Step 4: Simplify right side
    10,489.21x = 83,569,820.25
  5. Step 5: Solve for x
    x = 83,569,820.25/10,489.21
  6. Step 6: Final answer
    x = 7,967.22

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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.