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Finding the Fourth Proportional to 9,262, 12,781.68 and 5,070.16

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Solution

The fourth proportional to 9,262, 12,781.68 and 5,070.16 is: 6,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262 : 12,781.68 = 5,070.16 : x
  2. Step 2: Convert to fraction form
    9,262/12,781.68 = 5,070.16/x
  3. Step 3: Cross multiply
    9,262x = 12,781.68 × 5,070.16
  4. Step 4: Simplify right side
    9,262x = 64,805,162.67
  5. Step 5: Solve for x
    x = 64,805,162.67/9,262
  6. Step 6: Final answer
    x = 6,996.89

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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.