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Finding the Fourth Proportional to 2,139.76, 3,207.80 and 840.92

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Solution

The fourth proportional to 2,139.76, 3,207.80 and 840.92 is: 1,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.76 : 3,207.80 = 840.92 : x
  2. Step 2: Convert to fraction form
    2,139.76/3,207.80 = 840.92/x
  3. Step 3: Cross multiply
    2,139.76x = 3,207.80 × 840.92
  4. Step 4: Simplify right side
    2,139.76x = 2,697,503.18
  5. Step 5: Solve for x
    x = 2,697,503.18/2,139.76
  6. Step 6: Final answer
    x = 1,260.66

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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.