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Finding the Fourth Proportional to 10,443, 15,670.98 and 6,062.52

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Solution

The fourth proportional to 10,443, 15,670.98 and 6,062.52 is: 9,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443 : 15,670.98 = 6,062.52 : x
  2. Step 2: Convert to fraction form
    10,443/15,670.98 = 6,062.52/x
  3. Step 3: Cross multiply
    10,443x = 15,670.98 × 6,062.52
  4. Step 4: Simplify right side
    10,443x = 95,005,629.67
  5. Step 5: Solve for x
    x = 95,005,629.67/10,443
  6. Step 6: Final answer
    x = 9,097.54

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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.