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Finding the Fourth Proportional to 31,342.74, 47,018.50 and 9,157.74

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Solution

The fourth proportional to 31,342.74, 47,018.50 and 9,157.74 is: 13,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,342.74 : 47,018.50 = 9,157.74 : x
  2. Step 2: Convert to fraction form
    31,342.74/47,018.50 = 9,157.74/x
  3. Step 3: Cross multiply
    31,342.74x = 47,018.50 × 9,157.74
  4. Step 4: Simplify right side
    31,342.74x = 430,583,198.19
  5. Step 5: Solve for x
    x = 430,583,198.19/31,342.74
  6. Step 6: Final answer
    x = 13,737.89

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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.