Home / 2,428.32-3,642.40-697.12

Finding the Fourth Proportional to 2,428.32, 3,642.40 and 697.12

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Solution

The fourth proportional to 2,428.32, 3,642.40 and 697.12 is: 1,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.32 : 3,642.40 = 697.12 : x
  2. Step 2: Convert to fraction form
    2,428.32/3,642.40 = 697.12/x
  3. Step 3: Cross multiply
    2,428.32x = 3,642.40 × 697.12
  4. Step 4: Simplify right side
    2,428.32x = 2,539,189.89
  5. Step 5: Solve for x
    x = 2,539,189.89/2,428.32
  6. Step 6: Final answer
    x = 1,045.66

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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.