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Finding the Fourth Proportional to 15,154.98, 20,924.13 and 9,492

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Solution

The fourth proportional to 15,154.98, 20,924.13 and 9,492 is: 13,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,154.98 : 20,924.13 = 9,492 : x
  2. Step 2: Convert to fraction form
    15,154.98/20,924.13 = 9,492/x
  3. Step 3: Cross multiply
    15,154.98x = 20,924.13 × 9,492
  4. Step 4: Simplify right side
    15,154.98x = 198,611,841.96
  5. Step 5: Solve for x
    x = 198,611,841.96/15,154.98
  6. Step 6: Final answer
    x = 13,105.38

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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.