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Finding the Fourth Proportional to 10,304.86, 14,210 and 8,817.70

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Solution

The fourth proportional to 10,304.86, 14,210 and 8,817.70 is: 12,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.86 : 14,210 = 8,817.70 : x
  2. Step 2: Convert to fraction form
    10,304.86/14,210 = 8,817.70/x
  3. Step 3: Cross multiply
    10,304.86x = 14,210 × 8,817.70
  4. Step 4: Simplify right side
    10,304.86x = 125,299,517.00
  5. Step 5: Solve for x
    x = 125,299,517.00/10,304.86
  6. Step 6: Final answer
    x = 12,159.26

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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.