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Finding the Fourth Proportional to 1,840.64, 2,761.52 and 542.12

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Solution

The fourth proportional to 1,840.64, 2,761.52 and 542.12 is: 813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.64 : 2,761.52 = 542.12 : x
  2. Step 2: Convert to fraction form
    1,840.64/2,761.52 = 542.12/x
  3. Step 3: Cross multiply
    1,840.64x = 2,761.52 × 542.12
  4. Step 4: Simplify right side
    1,840.64x = 1,497,075.22
  5. Step 5: Solve for x
    x = 1,497,075.22/1,840.64
  6. Step 6: Final answer
    x = 813.34

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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.