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Finding the Fourth Proportional to 3,148.08, 4,721.84 and 957.30

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Solution

The fourth proportional to 3,148.08, 4,721.84 and 957.30 is: 1,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.08 : 4,721.84 = 957.30 : x
  2. Step 2: Convert to fraction form
    3,148.08/4,721.84 = 957.30/x
  3. Step 3: Cross multiply
    3,148.08x = 4,721.84 × 957.30
  4. Step 4: Simplify right side
    3,148.08x = 4,520,217.43
  5. Step 5: Solve for x
    x = 4,520,217.43/3,148.08
  6. Step 6: Final answer
    x = 1,435.86

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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.