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Finding the Fourth Proportional to 2,591.16, 3,886.32 and 859.76

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Solution

The fourth proportional to 2,591.16, 3,886.32 and 859.76 is: 1,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.16 : 3,886.32 = 859.76 : x
  2. Step 2: Convert to fraction form
    2,591.16/3,886.32 = 859.76/x
  3. Step 3: Cross multiply
    2,591.16x = 3,886.32 × 859.76
  4. Step 4: Simplify right side
    2,591.16x = 3,341,302.48
  5. Step 5: Solve for x
    x = 3,341,302.48/2,591.16
  6. Step 6: Final answer
    x = 1,289.50

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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.