Home / 5,314.25-7,970.82-1,616.51

Finding the Fourth Proportional to 5,314.25, 7,970.82 and 1,616.51

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Solution

The fourth proportional to 5,314.25, 7,970.82 and 1,616.51 is: 2,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.25 : 7,970.82 = 1,616.51 : x
  2. Step 2: Convert to fraction form
    5,314.25/7,970.82 = 1,616.51/x
  3. Step 3: Cross multiply
    5,314.25x = 7,970.82 × 1,616.51
  4. Step 4: Simplify right side
    5,314.25x = 12,884,924.10
  5. Step 5: Solve for x
    x = 12,884,924.10/5,314.25
  6. Step 6: Final answer
    x = 2,424.60

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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.