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Finding the Fourth Proportional to 2,351.71, 3,527.86 and 770.40

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Solution

The fourth proportional to 2,351.71, 3,527.86 and 770.40 is: 1,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.71 : 3,527.86 = 770.40 : x
  2. Step 2: Convert to fraction form
    2,351.71/3,527.86 = 770.40/x
  3. Step 3: Cross multiply
    2,351.71x = 3,527.86 × 770.40
  4. Step 4: Simplify right side
    2,351.71x = 2,717,863.34
  5. Step 5: Solve for x
    x = 2,717,863.34/2,351.71
  6. Step 6: Final answer
    x = 1,155.70

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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.