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Finding the Fourth Proportional to 4,874, 7,311 and 1,411.52

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Solution

The fourth proportional to 4,874, 7,311 and 1,411.52 is: 2,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874 : 7,311 = 1,411.52 : x
  2. Step 2: Convert to fraction form
    4,874/7,311 = 1,411.52/x
  3. Step 3: Cross multiply
    4,874x = 7,311 × 1,411.52
  4. Step 4: Simplify right side
    4,874x = 10,319,622.72
  5. Step 5: Solve for x
    x = 10,319,622.72/4,874
  6. Step 6: Final answer
    x = 2,117.28

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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.