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Finding the Fourth Proportional to 15,459.96, 21,334 and 8,386.24

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Solution

The fourth proportional to 15,459.96, 21,334 and 8,386.24 is: 11,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,459.96 : 21,334 = 8,386.24 : x
  2. Step 2: Convert to fraction form
    15,459.96/21,334 = 8,386.24/x
  3. Step 3: Cross multiply
    15,459.96x = 21,334 × 8,386.24
  4. Step 4: Simplify right side
    15,459.96x = 178,912,044.16
  5. Step 5: Solve for x
    x = 178,912,044.16/15,459.96
  6. Step 6: Final answer
    x = 11,572.61

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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.