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Finding the Fourth Proportional to 17,878.08, 24,671.04 and 9,920.16

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Solution

The fourth proportional to 17,878.08, 24,671.04 and 9,920.16 is: 13,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.08 : 24,671.04 = 9,920.16 : x
  2. Step 2: Convert to fraction form
    17,878.08/24,671.04 = 9,920.16/x
  3. Step 3: Cross multiply
    17,878.08x = 24,671.04 × 9,920.16
  4. Step 4: Simplify right side
    17,878.08x = 244,740,664.17
  5. Step 5: Solve for x
    x = 244,740,664.17/17,878.08
  6. Step 6: Final answer
    x = 13,689.43

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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.