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Finding the Fourth Proportional to 49,538, 74,311.32 and 12,602

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Solution

The fourth proportional to 49,538, 74,311.32 and 12,602 is: 18,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,538 : 74,311.32 = 12,602 : x
  2. Step 2: Convert to fraction form
    49,538/74,311.32 = 12,602/x
  3. Step 3: Cross multiply
    49,538x = 74,311.32 × 12,602
  4. Step 4: Simplify right side
    49,538x = 936,471,254.64
  5. Step 5: Solve for x
    x = 936,471,254.64/49,538
  6. Step 6: Final answer
    x = 18,904.10

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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.