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Finding the Fourth Proportional to 2,185.47, 3,278.21 and 542.01

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Solution

The fourth proportional to 2,185.47, 3,278.21 and 542.01 is: 813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.47 : 3,278.21 = 542.01 : x
  2. Step 2: Convert to fraction form
    2,185.47/3,278.21 = 542.01/x
  3. Step 3: Cross multiply
    2,185.47x = 3,278.21 × 542.01
  4. Step 4: Simplify right side
    2,185.47x = 1,776,809.63
  5. Step 5: Solve for x
    x = 1,776,809.63/2,185.47
  6. Step 6: Final answer
    x = 813.01

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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.