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Finding the Fourth Proportional to 2,100.76, 3,151.14 and 867.40

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Solution

The fourth proportional to 2,100.76, 3,151.14 and 867.40 is: 1,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.76 : 3,151.14 = 867.40 : x
  2. Step 2: Convert to fraction form
    2,100.76/3,151.14 = 867.40/x
  3. Step 3: Cross multiply
    2,100.76x = 3,151.14 × 867.40
  4. Step 4: Simplify right side
    2,100.76x = 2,733,298.84
  5. Step 5: Solve for x
    x = 2,733,298.84/2,100.76
  6. Step 6: Final answer
    x = 1,301.10

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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.