Home / 1,301.60-1,787.12-1,267.78

Finding the Fourth Proportional to 1,301.60, 1,787.12 and 1,267.78

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Solution

The fourth proportional to 1,301.60, 1,787.12 and 1,267.78 is: 1,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.60 : 1,787.12 = 1,267.78 : x
  2. Step 2: Convert to fraction form
    1,301.60/1,787.12 = 1,267.78/x
  3. Step 3: Cross multiply
    1,301.60x = 1,787.12 × 1,267.78
  4. Step 4: Simplify right side
    1,301.60x = 2,265,674.99
  5. Step 5: Solve for x
    x = 2,265,674.99/1,301.60
  6. Step 6: Final answer
    x = 1,740.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.