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Finding the Fourth Proportional to 2,307.43, 3,461.34 and 846.59

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Solution

The fourth proportional to 2,307.43, 3,461.34 and 846.59 is: 1,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.43 : 3,461.34 = 846.59 : x
  2. Step 2: Convert to fraction form
    2,307.43/3,461.34 = 846.59/x
  3. Step 3: Cross multiply
    2,307.43x = 3,461.34 × 846.59
  4. Step 4: Simplify right side
    2,307.43x = 2,930,335.83
  5. Step 5: Solve for x
    x = 2,930,335.83/2,307.43
  6. Step 6: Final answer
    x = 1,269.96

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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.