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Finding the Fourth Proportional to 15,087.66, 20,833.20 and 9,429

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Solution

The fourth proportional to 15,087.66, 20,833.20 and 9,429 is: 13,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,087.66 : 20,833.20 = 9,429 : x
  2. Step 2: Convert to fraction form
    15,087.66/20,833.20 = 9,429/x
  3. Step 3: Cross multiply
    15,087.66x = 20,833.20 × 9,429
  4. Step 4: Simplify right side
    15,087.66x = 196,436,242.80
  5. Step 5: Solve for x
    x = 196,436,242.80/15,087.66
  6. Step 6: Final answer
    x = 13,019.66

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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.