Home / 1,415.12-2,123.64-865.62

Finding the Fourth Proportional to 1,415.12, 2,123.64 and 865.62

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Solution

The fourth proportional to 1,415.12, 2,123.64 and 865.62 is: 1,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.12 : 2,123.64 = 865.62 : x
  2. Step 2: Convert to fraction form
    1,415.12/2,123.64 = 865.62/x
  3. Step 3: Cross multiply
    1,415.12x = 2,123.64 × 865.62
  4. Step 4: Simplify right side
    1,415.12x = 1,838,265.26
  5. Step 5: Solve for x
    x = 1,838,265.26/1,415.12
  6. Step 6: Final answer
    x = 1,299.02

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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.