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Finding the Fourth Proportional to 2,307.53, 3,461.51 and 991.35

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Solution

The fourth proportional to 2,307.53, 3,461.51 and 991.35 is: 1,487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.53 : 3,461.51 = 991.35 : x
  2. Step 2: Convert to fraction form
    2,307.53/3,461.51 = 991.35/x
  3. Step 3: Cross multiply
    2,307.53x = 3,461.51 × 991.35
  4. Step 4: Simplify right side
    2,307.53x = 3,431,562.98
  5. Step 5: Solve for x
    x = 3,431,562.98/2,307.53
  6. Step 6: Final answer
    x = 1,487.11

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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.