Home / 1,585.12-2,363.41-1,530.78

Finding the Fourth Proportional to 1,585.12, 2,363.41 and 1,530.78

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Solution

The fourth proportional to 1,585.12, 2,363.41 and 1,530.78 is: 2,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.12 : 2,363.41 = 1,530.78 : x
  2. Step 2: Convert to fraction form
    1,585.12/2,363.41 = 1,530.78/x
  3. Step 3: Cross multiply
    1,585.12x = 2,363.41 × 1,530.78
  4. Step 4: Simplify right side
    1,585.12x = 3,617,860.76
  5. Step 5: Solve for x
    x = 3,617,860.76/1,585.12
  6. Step 6: Final answer
    x = 2,282.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.