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Finding the Fourth Proportional to 16,492.80, 22,760.82 and 9,782.40

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Solution

The fourth proportional to 16,492.80, 22,760.82 and 9,782.40 is: 13,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.80 : 22,760.82 = 9,782.40 : x
  2. Step 2: Convert to fraction form
    16,492.80/22,760.82 = 9,782.40/x
  3. Step 3: Cross multiply
    16,492.80x = 22,760.82 × 9,782.40
  4. Step 4: Simplify right side
    16,492.80x = 222,655,445.57
  5. Step 5: Solve for x
    x = 222,655,445.57/16,492.80
  6. Step 6: Final answer
    x = 13,500.16

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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.