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Finding the Fourth Proportional to 2,516.76, 3,473.01 and 1,397.77

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Solution

The fourth proportional to 2,516.76, 3,473.01 and 1,397.77 is: 1,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.76 : 3,473.01 = 1,397.77 : x
  2. Step 2: Convert to fraction form
    2,516.76/3,473.01 = 1,397.77/x
  3. Step 3: Cross multiply
    2,516.76x = 3,473.01 × 1,397.77
  4. Step 4: Simplify right side
    2,516.76x = 4,854,448.33
  5. Step 5: Solve for x
    x = 4,854,448.33/2,516.76
  6. Step 6: Final answer
    x = 1,928.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.