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Finding the Fourth Proportional to 2,425.95, 3,639.39 and 866.01

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Solution

The fourth proportional to 2,425.95, 3,639.39 and 866.01 is: 1,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.95 : 3,639.39 = 866.01 : x
  2. Step 2: Convert to fraction form
    2,425.95/3,639.39 = 866.01/x
  3. Step 3: Cross multiply
    2,425.95x = 3,639.39 × 866.01
  4. Step 4: Simplify right side
    2,425.95x = 3,151,748.13
  5. Step 5: Solve for x
    x = 3,151,748.13/2,425.95
  6. Step 6: Final answer
    x = 1,299.18

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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.