Home / 2,306.57-3,184.47-1,560.65

Finding the Fourth Proportional to 2,306.57, 3,184.47 and 1,560.65

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Solution

The fourth proportional to 2,306.57, 3,184.47 and 1,560.65 is: 2,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.57 : 3,184.47 = 1,560.65 : x
  2. Step 2: Convert to fraction form
    2,306.57/3,184.47 = 1,560.65/x
  3. Step 3: Cross multiply
    2,306.57x = 3,184.47 × 1,560.65
  4. Step 4: Simplify right side
    2,306.57x = 4,969,843.11
  5. Step 5: Solve for x
    x = 4,969,843.11/2,306.57
  6. Step 6: Final answer
    x = 2,154.65

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Half scale
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Double scale
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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.