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Finding the Fourth Proportional to 2,140.79, 3,210.85 and 679.75

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Solution

The fourth proportional to 2,140.79, 3,210.85 and 679.75 is: 1,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.79 : 3,210.85 = 679.75 : x
  2. Step 2: Convert to fraction form
    2,140.79/3,210.85 = 679.75/x
  3. Step 3: Cross multiply
    2,140.79x = 3,210.85 × 679.75
  4. Step 4: Simplify right side
    2,140.79x = 2,182,575.29
  5. Step 5: Solve for x
    x = 2,182,575.29/2,140.79
  6. Step 6: Final answer
    x = 1,019.52

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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.