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Finding the Fourth Proportional to 38,880.86, 58,309.11 and 12,580.16

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Solution

The fourth proportional to 38,880.86, 58,309.11 and 12,580.16 is: 18,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,880.86 : 58,309.11 = 12,580.16 : x
  2. Step 2: Convert to fraction form
    38,880.86/58,309.11 = 12,580.16/x
  3. Step 3: Cross multiply
    38,880.86x = 58,309.11 × 12,580.16
  4. Step 4: Simplify right side
    38,880.86x = 733,537,641.71
  5. Step 5: Solve for x
    x = 733,537,641.71/38,880.86
  6. Step 6: Final answer
    x = 18,866.29

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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.