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Finding the Fourth Proportional to 31,176.60, 46,737.08 and 13,632.56

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Solution

The fourth proportional to 31,176.60, 46,737.08 and 13,632.56 is: 20,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176.60 : 46,737.08 = 13,632.56 : x
  2. Step 2: Convert to fraction form
    31,176.60/46,737.08 = 13,632.56/x
  3. Step 3: Cross multiply
    31,176.60x = 46,737.08 × 13,632.56
  4. Step 4: Simplify right side
    31,176.60x = 637,146,047.32
  5. Step 5: Solve for x
    x = 637,146,047.32/31,176.60
  6. Step 6: Final answer
    x = 20,436.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.