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Finding the Fourth Proportional to 2,731.60, 4,097.52 and 783.76

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Solution

The fourth proportional to 2,731.60, 4,097.52 and 783.76 is: 1,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.60 : 4,097.52 = 783.76 : x
  2. Step 2: Convert to fraction form
    2,731.60/4,097.52 = 783.76/x
  3. Step 3: Cross multiply
    2,731.60x = 4,097.52 × 783.76
  4. Step 4: Simplify right side
    2,731.60x = 3,211,472.28
  5. Step 5: Solve for x
    x = 3,211,472.28/2,731.60
  6. Step 6: Final answer
    x = 1,175.67

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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.