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Finding the Fourth Proportional to 8,677.76, 13,017 and 2,521.76

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Solution

The fourth proportional to 8,677.76, 13,017 and 2,521.76 is: 3,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.76 : 13,017 = 2,521.76 : x
  2. Step 2: Convert to fraction form
    8,677.76/13,017 = 2,521.76/x
  3. Step 3: Cross multiply
    8,677.76x = 13,017 × 2,521.76
  4. Step 4: Simplify right side
    8,677.76x = 32,825,749.92
  5. Step 5: Solve for x
    x = 32,825,749.92/8,677.76
  6. Step 6: Final answer
    x = 3,782.74

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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.