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Finding the Fourth Proportional to 1,415.46, 2,123.04 and 866.69

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Solution

The fourth proportional to 1,415.46, 2,123.04 and 866.69 is: 1,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.46 : 2,123.04 = 866.69 : x
  2. Step 2: Convert to fraction form
    1,415.46/2,123.04 = 866.69/x
  3. Step 3: Cross multiply
    1,415.46x = 2,123.04 × 866.69
  4. Step 4: Simplify right side
    1,415.46x = 1,840,006.92
  5. Step 5: Solve for x
    x = 1,840,006.92/1,415.46
  6. Step 6: Final answer
    x = 1,299.94

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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.