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Finding the Fourth Proportional to 2,613.93, 3,919.87 and 947.66

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Solution

The fourth proportional to 2,613.93, 3,919.87 and 947.66 is: 1,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.93 : 3,919.87 = 947.66 : x
  2. Step 2: Convert to fraction form
    2,613.93/3,919.87 = 947.66/x
  3. Step 3: Cross multiply
    2,613.93x = 3,919.87 × 947.66
  4. Step 4: Simplify right side
    2,613.93x = 3,714,708.21
  5. Step 5: Solve for x
    x = 3,714,708.21/2,613.93
  6. Step 6: Final answer
    x = 1,421.12

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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.