Home / 1,543.24-2,312.71-849.07

Finding the Fourth Proportional to 1,543.24, 2,312.71 and 849.07

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Solution

The fourth proportional to 1,543.24, 2,312.71 and 849.07 is: 1,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.24 : 2,312.71 = 849.07 : x
  2. Step 2: Convert to fraction form
    1,543.24/2,312.71 = 849.07/x
  3. Step 3: Cross multiply
    1,543.24x = 2,312.71 × 849.07
  4. Step 4: Simplify right side
    1,543.24x = 1,963,652.68
  5. Step 5: Solve for x
    x = 1,963,652.68/1,543.24
  6. Step 6: Final answer
    x = 1,272.42

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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.