Home / 5,314.06-7,972-1,616.66

Finding the Fourth Proportional to 5,314.06, 7,972 and 1,616.66

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Solution

The fourth proportional to 5,314.06, 7,972 and 1,616.66 is: 2,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.06 : 7,972 = 1,616.66 : x
  2. Step 2: Convert to fraction form
    5,314.06/7,972 = 1,616.66/x
  3. Step 3: Cross multiply
    5,314.06x = 7,972 × 1,616.66
  4. Step 4: Simplify right side
    5,314.06x = 12,888,013.52
  5. Step 5: Solve for x
    x = 12,888,013.52/5,314.06
  6. Step 6: Final answer
    x = 2,425.27

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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.