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Finding the Fourth Proportional to 28,661, 42,976 and 9,939.66

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Solution

The fourth proportional to 28,661, 42,976 and 9,939.66 is: 14,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,661 : 42,976 = 9,939.66 : x
  2. Step 2: Convert to fraction form
    28,661/42,976 = 9,939.66/x
  3. Step 3: Cross multiply
    28,661x = 42,976 × 9,939.66
  4. Step 4: Simplify right side
    28,661x = 427,166,828.16
  5. Step 5: Solve for x
    x = 427,166,828.16/28,661
  6. Step 6: Final answer
    x = 14,904.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.