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Finding the Fourth Proportional to 8,695.40, 13,017.90 and 6,513.80

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Solution

The fourth proportional to 8,695.40, 13,017.90 and 6,513.80 is: 9,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.40 : 13,017.90 = 6,513.80 : x
  2. Step 2: Convert to fraction form
    8,695.40/13,017.90 = 6,513.80/x
  3. Step 3: Cross multiply
    8,695.40x = 13,017.90 × 6,513.80
  4. Step 4: Simplify right side
    8,695.40x = 84,795,997.02
  5. Step 5: Solve for x
    x = 84,795,997.02/8,695.40
  6. Step 6: Final answer
    x = 9,751.82

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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.