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Finding the Fourth Proportional to 1,998.48, 2,758.17 and 1,440.80

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Solution

The fourth proportional to 1,998.48, 2,758.17 and 1,440.80 is: 1,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.48 : 2,758.17 = 1,440.80 : x
  2. Step 2: Convert to fraction form
    1,998.48/2,758.17 = 1,440.80/x
  3. Step 3: Cross multiply
    1,998.48x = 2,758.17 × 1,440.80
  4. Step 4: Simplify right side
    1,998.48x = 3,973,971.34
  5. Step 5: Solve for x
    x = 3,973,971.34/1,998.48
  6. Step 6: Final answer
    x = 1,988.50

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1.5x scale

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.