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Finding the Fourth Proportional to 6,454.64, 8,904.12 and 3,801.92

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Solution

The fourth proportional to 6,454.64, 8,904.12 and 3,801.92 is: 5,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.64 : 8,904.12 = 3,801.92 : x
  2. Step 2: Convert to fraction form
    6,454.64/8,904.12 = 3,801.92/x
  3. Step 3: Cross multiply
    6,454.64x = 8,904.12 × 3,801.92
  4. Step 4: Simplify right side
    6,454.64x = 33,852,751.91
  5. Step 5: Solve for x
    x = 33,852,751.91/6,454.64
  6. Step 6: Final answer
    x = 5,244.72

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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.