Home / 1,543.72-2,316.18-927.87

Finding the Fourth Proportional to 1,543.72, 2,316.18 and 927.87

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Solution

The fourth proportional to 1,543.72, 2,316.18 and 927.87 is: 1,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.72 : 2,316.18 = 927.87 : x
  2. Step 2: Convert to fraction form
    1,543.72/2,316.18 = 927.87/x
  3. Step 3: Cross multiply
    1,543.72x = 2,316.18 × 927.87
  4. Step 4: Simplify right side
    1,543.72x = 2,149,113.94
  5. Step 5: Solve for x
    x = 2,149,113.94/1,543.72
  6. Step 6: Final answer
    x = 1,392.16

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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.