Home / 1,516.07-2,274.13-542.14

Finding the Fourth Proportional to 1,516.07, 2,274.13 and 542.14

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Solution

The fourth proportional to 1,516.07, 2,274.13 and 542.14 is: 813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.07 : 2,274.13 = 542.14 : x
  2. Step 2: Convert to fraction form
    1,516.07/2,274.13 = 542.14/x
  3. Step 3: Cross multiply
    1,516.07x = 2,274.13 × 542.14
  4. Step 4: Simplify right side
    1,516.07x = 1,232,901.57
  5. Step 5: Solve for x
    x = 1,232,901.57/1,516.07
  6. Step 6: Final answer
    x = 813.22

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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.