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Finding the Fourth Proportional to 3,147.93, 4,721.72 and 1,417.77

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Solution

The fourth proportional to 3,147.93, 4,721.72 and 1,417.77 is: 2,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.93 : 4,721.72 = 1,417.77 : x
  2. Step 2: Convert to fraction form
    3,147.93/4,721.72 = 1,417.77/x
  3. Step 3: Cross multiply
    3,147.93x = 4,721.72 × 1,417.77
  4. Step 4: Simplify right side
    3,147.93x = 6,694,305.88
  5. Step 5: Solve for x
    x = 6,694,305.88/3,147.93
  6. Step 6: Final answer
    x = 2,126.57

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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.