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Finding the Fourth Proportional to 16,617.90, 22,935.78 and 9,447.78

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Solution

The fourth proportional to 16,617.90, 22,935.78 and 9,447.78 is: 13,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,617.90 : 22,935.78 = 9,447.78 : x
  2. Step 2: Convert to fraction form
    16,617.90/22,935.78 = 9,447.78/x
  3. Step 3: Cross multiply
    16,617.90x = 22,935.78 × 9,447.78
  4. Step 4: Simplify right side
    16,617.90x = 216,692,203.57
  5. Step 5: Solve for x
    x = 216,692,203.57/16,617.90
  6. Step 6: Final answer
    x = 13,039.69

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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.