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Finding the Fourth Proportional to 2,867.76, 3,956.76 and 1,688.40

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Solution

The fourth proportional to 2,867.76, 3,956.76 and 1,688.40 is: 2,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.76 : 3,956.76 = 1,688.40 : x
  2. Step 2: Convert to fraction form
    2,867.76/3,956.76 = 1,688.40/x
  3. Step 3: Cross multiply
    2,867.76x = 3,956.76 × 1,688.40
  4. Step 4: Simplify right side
    2,867.76x = 6,680,593.58
  5. Step 5: Solve for x
    x = 6,680,593.58/2,867.76
  6. Step 6: Final answer
    x = 2,329.55

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1.5x scale

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.