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Finding the Fourth Proportional to 6,377.28, 8,800.16 and 3,582.40

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Solution

The fourth proportional to 6,377.28, 8,800.16 and 3,582.40 is: 4,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.28 : 8,800.16 = 3,582.40 : x
  2. Step 2: Convert to fraction form
    6,377.28/8,800.16 = 3,582.40/x
  3. Step 3: Cross multiply
    6,377.28x = 8,800.16 × 3,582.40
  4. Step 4: Simplify right side
    6,377.28x = 31,525,693.18
  5. Step 5: Solve for x
    x = 31,525,693.18/6,377.28
  6. Step 6: Final answer
    x = 4,943.44

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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.