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Finding the Fourth Proportional to 10,145.72, 14,010 and 6,375.42

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Solution

The fourth proportional to 10,145.72, 14,010 and 6,375.42 is: 8,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.72 : 14,010 = 6,375.42 : x
  2. Step 2: Convert to fraction form
    10,145.72/14,010 = 6,375.42/x
  3. Step 3: Cross multiply
    10,145.72x = 14,010 × 6,375.42
  4. Step 4: Simplify right side
    10,145.72x = 89,319,634.20
  5. Step 5: Solve for x
    x = 89,319,634.20/10,145.72
  6. Step 6: Final answer
    x = 8,803.68

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1.5x scale

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.