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Finding the Fourth Proportional to 4,312.40, 6,470.20 and 1,714.64

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Solution

The fourth proportional to 4,312.40, 6,470.20 and 1,714.64 is: 2,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.40 : 6,470.20 = 1,714.64 : x
  2. Step 2: Convert to fraction form
    4,312.40/6,470.20 = 1,714.64/x
  3. Step 3: Cross multiply
    4,312.40x = 6,470.20 × 1,714.64
  4. Step 4: Simplify right side
    4,312.40x = 11,094,063.73
  5. Step 5: Solve for x
    x = 11,094,063.73/4,312.40
  6. Step 6: Final answer
    x = 2,572.60

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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.