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Finding the Fourth Proportional to 1,881.47, 2,823.17 and 771.70

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Solution

The fourth proportional to 1,881.47, 2,823.17 and 771.70 is: 1,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.47 : 2,823.17 = 771.70 : x
  2. Step 2: Convert to fraction form
    1,881.47/2,823.17 = 771.70/x
  3. Step 3: Cross multiply
    1,881.47x = 2,823.17 × 771.70
  4. Step 4: Simplify right side
    1,881.47x = 2,178,626.17
  5. Step 5: Solve for x
    x = 2,178,626.17/1,881.47
  6. Step 6: Final answer
    x = 1,157.94

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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.