Home / 2,003.13-3,005.10-542.70

Finding the Fourth Proportional to 2,003.13, 3,005.10 and 542.70

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Solution

The fourth proportional to 2,003.13, 3,005.10 and 542.70 is: 814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.13 : 3,005.10 = 542.70 : x
  2. Step 2: Convert to fraction form
    2,003.13/3,005.10 = 542.70/x
  3. Step 3: Cross multiply
    2,003.13x = 3,005.10 × 542.70
  4. Step 4: Simplify right side
    2,003.13x = 1,630,867.77
  5. Step 5: Solve for x
    x = 1,630,867.77/2,003.13
  6. Step 6: Final answer
    x = 814.16

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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.