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Finding the Fourth Proportional to 10,643.88, 15,971.28 and 8,062.68

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Solution

The fourth proportional to 10,643.88, 15,971.28 and 8,062.68 is: 12,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.88 : 15,971.28 = 8,062.68 : x
  2. Step 2: Convert to fraction form
    10,643.88/15,971.28 = 8,062.68/x
  3. Step 3: Cross multiply
    10,643.88x = 15,971.28 × 8,062.68
  4. Step 4: Simplify right side
    10,643.88x = 128,771,319.83
  5. Step 5: Solve for x
    x = 128,771,319.83/10,643.88
  6. Step 6: Final answer
    x = 12,098.16

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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.