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Finding the Fourth Proportional to 3,000, 4,140 and 1,758.08

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Solution

The fourth proportional to 3,000, 4,140 and 1,758.08 is: 2,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000 : 4,140 = 1,758.08 : x
  2. Step 2: Convert to fraction form
    3,000/4,140 = 1,758.08/x
  3. Step 3: Cross multiply
    3,000x = 4,140 × 1,758.08
  4. Step 4: Simplify right side
    3,000x = 7,278,451.20
  5. Step 5: Solve for x
    x = 7,278,451.20/3,000
  6. Step 6: Final answer
    x = 2,426.15

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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.