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Finding the Fourth Proportional to 8,530.40, 12,805.20 and 6,591.20

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Solution

The fourth proportional to 8,530.40, 12,805.20 and 6,591.20 is: 9,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.40 : 12,805.20 = 6,591.20 : x
  2. Step 2: Convert to fraction form
    8,530.40/12,805.20 = 6,591.20/x
  3. Step 3: Cross multiply
    8,530.40x = 12,805.20 × 6,591.20
  4. Step 4: Simplify right side
    8,530.40x = 84,401,634.24
  5. Step 5: Solve for x
    x = 84,401,634.24/8,530.40
  6. Step 6: Final answer
    x = 9,894.22

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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.