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Finding the Fourth Proportional to 10,714.50, 14,769.81 and 9,214.38

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Solution

The fourth proportional to 10,714.50, 14,769.81 and 9,214.38 is: 12,701.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.50 : 14,769.81 = 9,214.38 : x
  2. Step 2: Convert to fraction form
    10,714.50/14,769.81 = 9,214.38/x
  3. Step 3: Cross multiply
    10,714.50x = 14,769.81 × 9,214.38
  4. Step 4: Simplify right side
    10,714.50x = 136,094,641.87
  5. Step 5: Solve for x
    x = 136,094,641.87/10,714.50
  6. Step 6: Final answer
    x = 12,701.91

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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.