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Finding the Fourth Proportional to 1,691.95, 2,539.75 and 1,421.01

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Solution

The fourth proportional to 1,691.95, 2,539.75 and 1,421.01 is: 2,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.95 : 2,539.75 = 1,421.01 : x
  2. Step 2: Convert to fraction form
    1,691.95/2,539.75 = 1,421.01/x
  3. Step 3: Cross multiply
    1,691.95x = 2,539.75 × 1,421.01
  4. Step 4: Simplify right side
    1,691.95x = 3,609,010.15
  5. Step 5: Solve for x
    x = 3,609,010.15/1,691.95
  6. Step 6: Final answer
    x = 2,133.05

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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.