Home / 1,585.31-2,184.17-1,306.40

Finding the Fourth Proportional to 1,585.31, 2,184.17 and 1,306.40

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Solution

The fourth proportional to 1,585.31, 2,184.17 and 1,306.40 is: 1,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.31 : 2,184.17 = 1,306.40 : x
  2. Step 2: Convert to fraction form
    1,585.31/2,184.17 = 1,306.40/x
  3. Step 3: Cross multiply
    1,585.31x = 2,184.17 × 1,306.40
  4. Step 4: Simplify right side
    1,585.31x = 2,853,382.24
  5. Step 5: Solve for x
    x = 2,853,382.24/1,585.31
  6. Step 6: Final answer
    x = 1,799.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.