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Finding the Fourth Proportional to 1,207.76, 1,810.26 and 861.93

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Solution

The fourth proportional to 1,207.76, 1,810.26 and 861.93 is: 1,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.76 : 1,810.26 = 861.93 : x
  2. Step 2: Convert to fraction form
    1,207.76/1,810.26 = 861.93/x
  3. Step 3: Cross multiply
    1,207.76x = 1,810.26 × 861.93
  4. Step 4: Simplify right side
    1,207.76x = 1,560,317.40
  5. Step 5: Solve for x
    x = 1,560,317.40/1,207.76
  6. Step 6: Final answer
    x = 1,291.92

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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.