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Finding the Fourth Proportional to 1,486.74, 2,051.23 and 865.62

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Solution

The fourth proportional to 1,486.74, 2,051.23 and 865.62 is: 1,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.74 : 2,051.23 = 865.62 : x
  2. Step 2: Convert to fraction form
    1,486.74/2,051.23 = 865.62/x
  3. Step 3: Cross multiply
    1,486.74x = 2,051.23 × 865.62
  4. Step 4: Simplify right side
    1,486.74x = 1,775,585.71
  5. Step 5: Solve for x
    x = 1,775,585.71/1,486.74
  6. Step 6: Final answer
    x = 1,194.28

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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.