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Finding the Fourth Proportional to 8,590.80, 12,864.48 and 5,461.20

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Solution

The fourth proportional to 8,590.80, 12,864.48 and 5,461.20 is: 8,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.80 : 12,864.48 = 5,461.20 : x
  2. Step 2: Convert to fraction form
    8,590.80/12,864.48 = 5,461.20/x
  3. Step 3: Cross multiply
    8,590.80x = 12,864.48 × 5,461.20
  4. Step 4: Simplify right side
    8,590.80x = 70,255,498.18
  5. Step 5: Solve for x
    x = 70,255,498.18/8,590.80
  6. Step 6: Final answer
    x = 8,177.99

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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.