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Finding the Fourth Proportional to 2,307.87, 3,462.30 and 991.62

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Solution

The fourth proportional to 2,307.87, 3,462.30 and 991.62 is: 1,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.87 : 3,462.30 = 991.62 : x
  2. Step 2: Convert to fraction form
    2,307.87/3,462.30 = 991.62/x
  3. Step 3: Cross multiply
    2,307.87x = 3,462.30 × 991.62
  4. Step 4: Simplify right side
    2,307.87x = 3,433,285.93
  5. Step 5: Solve for x
    x = 3,433,285.93/2,307.87
  6. Step 6: Final answer
    x = 1,487.64

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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.