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Finding the Fourth Proportional to 13,712, 20,595.60 and 8,176.16

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Solution

The fourth proportional to 13,712, 20,595.60 and 8,176.16 is: 12,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712 : 20,595.60 = 8,176.16 : x
  2. Step 2: Convert to fraction form
    13,712/20,595.60 = 8,176.16/x
  3. Step 3: Cross multiply
    13,712x = 20,595.60 × 8,176.16
  4. Step 4: Simplify right side
    13,712x = 168,392,920.90
  5. Step 5: Solve for x
    x = 168,392,920.90/13,712
  6. Step 6: Final answer
    x = 12,280.70

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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.