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Finding the Fourth Proportional to 6,494.16, 8,956.04 and 4,255.21

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Solution

The fourth proportional to 6,494.16, 8,956.04 and 4,255.21 is: 5,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.16 : 8,956.04 = 4,255.21 : x
  2. Step 2: Convert to fraction form
    6,494.16/8,956.04 = 4,255.21/x
  3. Step 3: Cross multiply
    6,494.16x = 8,956.04 × 4,255.21
  4. Step 4: Simplify right side
    6,494.16x = 38,109,830.97
  5. Step 5: Solve for x
    x = 38,109,830.97/6,494.16
  6. Step 6: Final answer
    x = 5,868.32

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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.