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Finding the Fourth Proportional to 10,841.43, 14,963.68 and 7,058.01

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Solution

The fourth proportional to 10,841.43, 14,963.68 and 7,058.01 is: 9,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.43 : 14,963.68 = 7,058.01 : x
  2. Step 2: Convert to fraction form
    10,841.43/14,963.68 = 7,058.01/x
  3. Step 3: Cross multiply
    10,841.43x = 14,963.68 × 7,058.01
  4. Step 4: Simplify right side
    10,841.43x = 105,613,730.38
  5. Step 5: Solve for x
    x = 105,613,730.38/10,841.43
  6. Step 6: Final answer
    x = 9,741.68

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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.