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Finding the Fourth Proportional to 1,552.75, 2,141.80 and 993.02

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Solution

The fourth proportional to 1,552.75, 2,141.80 and 993.02 is: 1,369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.75 : 2,141.80 = 993.02 : x
  2. Step 2: Convert to fraction form
    1,552.75/2,141.80 = 993.02/x
  3. Step 3: Cross multiply
    1,552.75x = 2,141.80 × 993.02
  4. Step 4: Simplify right side
    1,552.75x = 2,126,837.04
  5. Step 5: Solve for x
    x = 2,126,837.04/1,552.75
  6. Step 6: Final answer
    x = 1,369.72

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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.