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Finding the Fourth Proportional to 5,648.40, 8,456.40 and 4,341.60

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Solution

The fourth proportional to 5,648.40, 8,456.40 and 4,341.60 is: 6,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.40 : 8,456.40 = 4,341.60 : x
  2. Step 2: Convert to fraction form
    5,648.40/8,456.40 = 4,341.60/x
  3. Step 3: Cross multiply
    5,648.40x = 8,456.40 × 4,341.60
  4. Step 4: Simplify right side
    5,648.40x = 36,714,306.24
  5. Step 5: Solve for x
    x = 36,714,306.24/5,648.40
  6. Step 6: Final answer
    x = 6,499.95

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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.