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Finding the Fourth Proportional to 1,213, 1,820.42 and 861.58

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Solution

The fourth proportional to 1,213, 1,820.42 and 861.58 is: 1,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213 : 1,820.42 = 861.58 : x
  2. Step 2: Convert to fraction form
    1,213/1,820.42 = 861.58/x
  3. Step 3: Cross multiply
    1,213x = 1,820.42 × 861.58
  4. Step 4: Simplify right side
    1,213x = 1,568,437.46
  5. Step 5: Solve for x
    x = 1,568,437.46/1,213
  6. Step 6: Final answer
    x = 1,293.02

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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.