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Finding the Fourth Proportional to 15,197.76, 20,977.92 and 8,910

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Solution

The fourth proportional to 15,197.76, 20,977.92 and 8,910 is: 12,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.76 : 20,977.92 = 8,910 : x
  2. Step 2: Convert to fraction form
    15,197.76/20,977.92 = 8,910/x
  3. Step 3: Cross multiply
    15,197.76x = 20,977.92 × 8,910
  4. Step 4: Simplify right side
    15,197.76x = 186,913,267.20
  5. Step 5: Solve for x
    x = 186,913,267.20/15,197.76
  6. Step 6: Final answer
    x = 12,298.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.