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Finding the Fourth Proportional to 2,355.16, 3,531.40 and 711.24

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Solution

The fourth proportional to 2,355.16, 3,531.40 and 711.24 is: 1,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.16 : 3,531.40 = 711.24 : x
  2. Step 2: Convert to fraction form
    2,355.16/3,531.40 = 711.24/x
  3. Step 3: Cross multiply
    2,355.16x = 3,531.40 × 711.24
  4. Step 4: Simplify right side
    2,355.16x = 2,511,672.94
  5. Step 5: Solve for x
    x = 2,511,672.94/2,355.16
  6. Step 6: Final answer
    x = 1,066.46

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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.