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Finding the Fourth Proportional to 17,618.40, 24,315.90 and 10,906.20

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Solution

The fourth proportional to 17,618.40, 24,315.90 and 10,906.20 is: 15,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,618.40 : 24,315.90 = 10,906.20 : x
  2. Step 2: Convert to fraction form
    17,618.40/24,315.90 = 10,906.20/x
  3. Step 3: Cross multiply
    17,618.40x = 24,315.90 × 10,906.20
  4. Step 4: Simplify right side
    17,618.40x = 265,194,068.58
  5. Step 5: Solve for x
    x = 265,194,068.58/17,618.40
  6. Step 6: Final answer
    x = 15,052.11

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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.