Home / 1,854.26-2,780.07-929.15

Finding the Fourth Proportional to 1,854.26, 2,780.07 and 929.15

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Solution

The fourth proportional to 1,854.26, 2,780.07 and 929.15 is: 1,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.26 : 2,780.07 = 929.15 : x
  2. Step 2: Convert to fraction form
    1,854.26/2,780.07 = 929.15/x
  3. Step 3: Cross multiply
    1,854.26x = 2,780.07 × 929.15
  4. Step 4: Simplify right side
    1,854.26x = 2,583,102.04
  5. Step 5: Solve for x
    x = 2,583,102.04/1,854.26
  6. Step 6: Final answer
    x = 1,393.07

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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.