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Finding the Fourth Proportional to 8,672.94, 13,012.65 and 6,499.98

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Solution

The fourth proportional to 8,672.94, 13,012.65 and 6,499.98 is: 9,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.94 : 13,012.65 = 6,499.98 : x
  2. Step 2: Convert to fraction form
    8,672.94/13,012.65 = 6,499.98/x
  3. Step 3: Cross multiply
    8,672.94x = 13,012.65 × 6,499.98
  4. Step 4: Simplify right side
    8,672.94x = 84,581,964.75
  5. Step 5: Solve for x
    x = 84,581,964.75/8,672.94
  6. Step 6: Final answer
    x = 9,752.40

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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.