Home / 4,974-7,460.13-1,642.29

Finding the Fourth Proportional to 4,974, 7,460.13 and 1,642.29

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Solution

The fourth proportional to 4,974, 7,460.13 and 1,642.29 is: 2,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974 : 7,460.13 = 1,642.29 : x
  2. Step 2: Convert to fraction form
    4,974/7,460.13 = 1,642.29/x
  3. Step 3: Cross multiply
    4,974x = 7,460.13 × 1,642.29
  4. Step 4: Simplify right side
    4,974x = 12,251,696.90
  5. Step 5: Solve for x
    x = 12,251,696.90/4,974
  6. Step 6: Final answer
    x = 2,463.15

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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.