Home / 5,314.32-7,970.88-1,418.46

Finding the Fourth Proportional to 5,314.32, 7,970.88 and 1,418.46

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Solution

The fourth proportional to 5,314.32, 7,970.88 and 1,418.46 is: 2,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.32 : 7,970.88 = 1,418.46 : x
  2. Step 2: Convert to fraction form
    5,314.32/7,970.88 = 1,418.46/x
  3. Step 3: Cross multiply
    5,314.32x = 7,970.88 × 1,418.46
  4. Step 4: Simplify right side
    5,314.32x = 11,306,374.44
  5. Step 5: Solve for x
    x = 11,306,374.44/5,314.32
  6. Step 6: Final answer
    x = 2,127.53

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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.