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Finding the Fourth Proportional to 31,408.53, 47,114.59 and 8,917.45

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Solution

The fourth proportional to 31,408.53, 47,114.59 and 8,917.45 is: 13,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.53 : 47,114.59 = 8,917.45 : x
  2. Step 2: Convert to fraction form
    31,408.53/47,114.59 = 8,917.45/x
  3. Step 3: Cross multiply
    31,408.53x = 47,114.59 × 8,917.45
  4. Step 4: Simplify right side
    31,408.53x = 420,142,070.64
  5. Step 5: Solve for x
    x = 420,142,070.64/31,408.53
  6. Step 6: Final answer
    x = 13,376.69

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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.