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Finding the Fourth Proportional to 3,148.32, 4,721.04 and 956.28

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Solution

The fourth proportional to 3,148.32, 4,721.04 and 956.28 is: 1,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.32 : 4,721.04 = 956.28 : x
  2. Step 2: Convert to fraction form
    3,148.32/4,721.04 = 956.28/x
  3. Step 3: Cross multiply
    3,148.32x = 4,721.04 × 956.28
  4. Step 4: Simplify right side
    3,148.32x = 4,514,636.13
  5. Step 5: Solve for x
    x = 4,514,636.13/3,148.32
  6. Step 6: Final answer
    x = 1,433.98

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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.