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Finding the Fourth Proportional to 2,715.78, 4,073.61 and 866.87

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Solution

The fourth proportional to 2,715.78, 4,073.61 and 866.87 is: 1,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.78 : 4,073.61 = 866.87 : x
  2. Step 2: Convert to fraction form
    2,715.78/4,073.61 = 866.87/x
  3. Step 3: Cross multiply
    2,715.78x = 4,073.61 × 866.87
  4. Step 4: Simplify right side
    2,715.78x = 3,531,269.93
  5. Step 5: Solve for x
    x = 3,531,269.93/2,715.78
  6. Step 6: Final answer
    x = 1,300.28

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1.5x scale

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.