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Finding the Fourth Proportional to 1,486, 2,050.80 and 865.12

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Solution

The fourth proportional to 1,486, 2,050.80 and 865.12 is: 1,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486 : 2,050.80 = 865.12 : x
  2. Step 2: Convert to fraction form
    1,486/2,050.80 = 865.12/x
  3. Step 3: Cross multiply
    1,486x = 2,050.80 × 865.12
  4. Step 4: Simplify right side
    1,486x = 1,774,188.10
  5. Step 5: Solve for x
    x = 1,774,188.10/1,486
  6. Step 6: Final answer
    x = 1,193.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.