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Finding the Fourth Proportional to 2,307.09, 3,461.19 and 747.10

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Solution

The fourth proportional to 2,307.09, 3,461.19 and 747.10 is: 1,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.09 : 3,461.19 = 747.10 : x
  2. Step 2: Convert to fraction form
    2,307.09/3,461.19 = 747.10/x
  3. Step 3: Cross multiply
    2,307.09x = 3,461.19 × 747.10
  4. Step 4: Simplify right side
    2,307.09x = 2,585,848.55
  5. Step 5: Solve for x
    x = 2,585,848.55/2,307.09
  6. Step 6: Final answer
    x = 1,120.83

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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.