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Finding the Fourth Proportional to 10,642.56, 14,671.62 and 7,657.44

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Solution

The fourth proportional to 10,642.56, 14,671.62 and 7,657.44 is: 10,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.56 : 14,671.62 = 7,657.44 : x
  2. Step 2: Convert to fraction form
    10,642.56/14,671.62 = 7,657.44/x
  3. Step 3: Cross multiply
    10,642.56x = 14,671.62 × 7,657.44
  4. Step 4: Simplify right side
    10,642.56x = 112,347,049.85
  5. Step 5: Solve for x
    x = 112,347,049.85/10,642.56
  6. Step 6: Final answer
    x = 10,556.39

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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.