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Finding the Fourth Proportional to 1,514.88, 2,091.15 and 983.93

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Solution

The fourth proportional to 1,514.88, 2,091.15 and 983.93 is: 1,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.88 : 2,091.15 = 983.93 : x
  2. Step 2: Convert to fraction form
    1,514.88/2,091.15 = 983.93/x
  3. Step 3: Cross multiply
    1,514.88x = 2,091.15 × 983.93
  4. Step 4: Simplify right side
    1,514.88x = 2,057,534.76
  5. Step 5: Solve for x
    x = 2,057,534.76/1,514.88
  6. Step 6: Final answer
    x = 1,358.22

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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.