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Finding the Fourth Proportional to 47, 64.86 and 42.86

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Solution

The fourth proportional to 47, 64.86 and 42.86 is: 59.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47 : 64.86 = 42.86 : x
  2. Step 2: Convert to fraction form
    47/64.86 = 42.86/x
  3. Step 3: Cross multiply
    47x = 64.86 × 42.86
  4. Step 4: Simplify right side
    47x = 2,779.90
  5. Step 5: Solve for x
    x = 2,779.90/47
  6. Step 6: Final answer
    x = 59.15

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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.