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Finding the Fourth Proportional to 2,071.71, 3,108.17 and 772.88

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Solution

The fourth proportional to 2,071.71, 3,108.17 and 772.88 is: 1,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.71 : 3,108.17 = 772.88 : x
  2. Step 2: Convert to fraction form
    2,071.71/3,108.17 = 772.88/x
  3. Step 3: Cross multiply
    2,071.71x = 3,108.17 × 772.88
  4. Step 4: Simplify right side
    2,071.71x = 2,402,228.82
  5. Step 5: Solve for x
    x = 2,402,228.82/2,071.71
  6. Step 6: Final answer
    x = 1,159.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.