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Finding the Fourth Proportional to 6,312.32, 9,471.68 and 4,256

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Solution

The fourth proportional to 6,312.32, 9,471.68 and 4,256 is: 6,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.32 : 9,471.68 = 4,256 : x
  2. Step 2: Convert to fraction form
    6,312.32/9,471.68 = 4,256/x
  3. Step 3: Cross multiply
    6,312.32x = 9,471.68 × 4,256
  4. Step 4: Simplify right side
    6,312.32x = 40,311,470.08
  5. Step 5: Solve for x
    x = 40,311,470.08/6,312.32
  6. Step 6: Final answer
    x = 6,386.16

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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.