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Finding the Fourth Proportional to 2,613.84, 3,607.11 and 1,434.87

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Solution

The fourth proportional to 2,613.84, 3,607.11 and 1,434.87 is: 1,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.84 : 3,607.11 = 1,434.87 : x
  2. Step 2: Convert to fraction form
    2,613.84/3,607.11 = 1,434.87/x
  3. Step 3: Cross multiply
    2,613.84x = 3,607.11 × 1,434.87
  4. Step 4: Simplify right side
    2,613.84x = 5,175,733.93
  5. Step 5: Solve for x
    x = 5,175,733.93/2,613.84
  6. Step 6: Final answer
    x = 1,980.13

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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.