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Finding the Fourth Proportional to 31,153, 46,737.30 and 8,965.89

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Solution

The fourth proportional to 31,153, 46,737.30 and 8,965.89 is: 13,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,153 : 46,737.30 = 8,965.89 : x
  2. Step 2: Convert to fraction form
    31,153/46,737.30 = 8,965.89/x
  3. Step 3: Cross multiply
    31,153x = 46,737.30 × 8,965.89
  4. Step 4: Simplify right side
    31,153x = 419,041,490.70
  5. Step 5: Solve for x
    x = 419,041,490.70/31,153
  6. Step 6: Final answer
    x = 13,451.08

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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.