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Finding the Fourth Proportional to 6,487.86, 9,731.78 and 4,642.58

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Solution

The fourth proportional to 6,487.86, 9,731.78 and 4,642.58 is: 6,963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.86 : 9,731.78 = 4,642.58 : x
  2. Step 2: Convert to fraction form
    6,487.86/9,731.78 = 4,642.58/x
  3. Step 3: Cross multiply
    6,487.86x = 9,731.78 × 4,642.58
  4. Step 4: Simplify right side
    6,487.86x = 45,180,530.98
  5. Step 5: Solve for x
    x = 45,180,530.98/6,487.86
  6. Step 6: Final answer
    x = 6,963.86

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1.5x scale

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.