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Finding the Fourth Proportional to 6,385.20, 8,815.20 and 4,260.16

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Solution

The fourth proportional to 6,385.20, 8,815.20 and 4,260.16 is: 5,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.20 : 8,815.20 = 4,260.16 : x
  2. Step 2: Convert to fraction form
    6,385.20/8,815.20 = 4,260.16/x
  3. Step 3: Cross multiply
    6,385.20x = 8,815.20 × 4,260.16
  4. Step 4: Simplify right side
    6,385.20x = 37,554,162.43
  5. Step 5: Solve for x
    x = 37,554,162.43/6,385.20
  6. Step 6: Final answer
    x = 5,881.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.