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Finding the Fourth Proportional to 1,987.13, 2,741.03 and 1,314.93

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Solution

The fourth proportional to 1,987.13, 2,741.03 and 1,314.93 is: 1,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.13 : 2,741.03 = 1,314.93 : x
  2. Step 2: Convert to fraction form
    1,987.13/2,741.03 = 1,314.93/x
  3. Step 3: Cross multiply
    1,987.13x = 2,741.03 × 1,314.93
  4. Step 4: Simplify right side
    1,987.13x = 3,604,262.58
  5. Step 5: Solve for x
    x = 3,604,262.58/1,987.13
  6. Step 6: Final answer
    x = 1,813.80

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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.