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Finding the Fourth Proportional to 16,605.90, 22,905.66 and 9,886.50

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Solution

The fourth proportional to 16,605.90, 22,905.66 and 9,886.50 is: 13,637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,605.90 : 22,905.66 = 9,886.50 : x
  2. Step 2: Convert to fraction form
    16,605.90/22,905.66 = 9,886.50/x
  3. Step 3: Cross multiply
    16,605.90x = 22,905.66 × 9,886.50
  4. Step 4: Simplify right side
    16,605.90x = 226,456,807.59
  5. Step 5: Solve for x
    x = 226,456,807.59/16,605.90
  6. Step 6: Final answer
    x = 13,637.13

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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.