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Finding the Fourth Proportional to 2,120.88, 3,178.71 and 1,010.88

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Solution

The fourth proportional to 2,120.88, 3,178.71 and 1,010.88 is: 1,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.88 : 3,178.71 = 1,010.88 : x
  2. Step 2: Convert to fraction form
    2,120.88/3,178.71 = 1,010.88/x
  3. Step 3: Cross multiply
    2,120.88x = 3,178.71 × 1,010.88
  4. Step 4: Simplify right side
    2,120.88x = 3,213,294.36
  5. Step 5: Solve for x
    x = 3,213,294.36/2,120.88
  6. Step 6: Final answer
    x = 1,515.08

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1.5x scale

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.