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Finding the Fourth Proportional to 2,161.76, 3,242.56 and 1,065.76

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Solution

The fourth proportional to 2,161.76, 3,242.56 and 1,065.76 is: 1,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.76 : 3,242.56 = 1,065.76 : x
  2. Step 2: Convert to fraction form
    2,161.76/3,242.56 = 1,065.76/x
  3. Step 3: Cross multiply
    2,161.76x = 3,242.56 × 1,065.76
  4. Step 4: Simplify right side
    2,161.76x = 3,455,790.75
  5. Step 5: Solve for x
    x = 3,455,790.75/2,161.76
  6. Step 6: Final answer
    x = 1,598.60

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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.