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Finding the Fourth Proportional to 8,602.86, 12,911.49 and 4,908.54

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Solution

The fourth proportional to 8,602.86, 12,911.49 and 4,908.54 is: 7,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.86 : 12,911.49 = 4,908.54 : x
  2. Step 2: Convert to fraction form
    8,602.86/12,911.49 = 4,908.54/x
  3. Step 3: Cross multiply
    8,602.86x = 12,911.49 × 4,908.54
  4. Step 4: Simplify right side
    8,602.86x = 63,376,565.12
  5. Step 5: Solve for x
    x = 63,376,565.12/8,602.86
  6. Step 6: Final answer
    x = 7,366.92

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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.