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Finding the Fourth Proportional to 1,393.88, 2,091.10 and 983.16

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Solution

The fourth proportional to 1,393.88, 2,091.10 and 983.16 is: 1,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.88 : 2,091.10 = 983.16 : x
  2. Step 2: Convert to fraction form
    1,393.88/2,091.10 = 983.16/x
  3. Step 3: Cross multiply
    1,393.88x = 2,091.10 × 983.16
  4. Step 4: Simplify right side
    1,393.88x = 2,055,885.88
  5. Step 5: Solve for x
    x = 2,055,885.88/1,393.88
  6. Step 6: Final answer
    x = 1,474.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.