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Finding the Fourth Proportional to 2,451, 3,382.33 and 1,388.75

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Solution

The fourth proportional to 2,451, 3,382.33 and 1,388.75 is: 1,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451 : 3,382.33 = 1,388.75 : x
  2. Step 2: Convert to fraction form
    2,451/3,382.33 = 1,388.75/x
  3. Step 3: Cross multiply
    2,451x = 3,382.33 × 1,388.75
  4. Step 4: Simplify right side
    2,451x = 4,697,210.79
  5. Step 5: Solve for x
    x = 4,697,210.79/2,451
  6. Step 6: Final answer
    x = 1,916.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.