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Finding the Fourth Proportional to 1,486.86, 2,051.55 and 865.50

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Solution

The fourth proportional to 1,486.86, 2,051.55 and 865.50 is: 1,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.86 : 2,051.55 = 865.50 : x
  2. Step 2: Convert to fraction form
    1,486.86/2,051.55 = 865.50/x
  3. Step 3: Cross multiply
    1,486.86x = 2,051.55 × 865.50
  4. Step 4: Simplify right side
    1,486.86x = 1,775,616.53
  5. Step 5: Solve for x
    x = 1,775,616.53/1,486.86
  6. Step 6: Final answer
    x = 1,194.21

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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.