Home / 1,582.11-2,373.27-542.07

Finding the Fourth Proportional to 1,582.11, 2,373.27 and 542.07

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Solution

The fourth proportional to 1,582.11, 2,373.27 and 542.07 is: 813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.11 : 2,373.27 = 542.07 : x
  2. Step 2: Convert to fraction form
    1,582.11/2,373.27 = 542.07/x
  3. Step 3: Cross multiply
    1,582.11x = 2,373.27 × 542.07
  4. Step 4: Simplify right side
    1,582.11x = 1,286,478.47
  5. Step 5: Solve for x
    x = 1,286,478.47/1,582.11
  6. Step 6: Final answer
    x = 813.14

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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.