Home / 2,003.16-3,005.08-542.40

Finding the Fourth Proportional to 2,003.16, 3,005.08 and 542.40

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Solution

The fourth proportional to 2,003.16, 3,005.08 and 542.40 is: 813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.16 : 3,005.08 = 542.40 : x
  2. Step 2: Convert to fraction form
    2,003.16/3,005.08 = 542.40/x
  3. Step 3: Cross multiply
    2,003.16x = 3,005.08 × 542.40
  4. Step 4: Simplify right side
    2,003.16x = 1,629,955.39
  5. Step 5: Solve for x
    x = 1,629,955.39/2,003.16
  6. Step 6: Final answer
    x = 813.69

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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.