Home / 1,541.42-2,312.14-387.18

Finding the Fourth Proportional to 1,541.42, 2,312.14 and 387.18

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Solution

The fourth proportional to 1,541.42, 2,312.14 and 387.18 is: 580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.42 : 2,312.14 = 387.18 : x
  2. Step 2: Convert to fraction form
    1,541.42/2,312.14 = 387.18/x
  3. Step 3: Cross multiply
    1,541.42x = 2,312.14 × 387.18
  4. Step 4: Simplify right side
    1,541.42x = 895,214.37
  5. Step 5: Solve for x
    x = 895,214.37/1,541.42
  6. Step 6: Final answer
    x = 580.77

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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.