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Finding the Fourth Proportional to 1,188.80, 1,772.74 and 1,094.24

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Solution

The fourth proportional to 1,188.80, 1,772.74 and 1,094.24 is: 1,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.80 : 1,772.74 = 1,094.24 : x
  2. Step 2: Convert to fraction form
    1,188.80/1,772.74 = 1,094.24/x
  3. Step 3: Cross multiply
    1,188.80x = 1,772.74 × 1,094.24
  4. Step 4: Simplify right side
    1,188.80x = 1,939,803.02
  5. Step 5: Solve for x
    x = 1,939,803.02/1,188.80
  6. Step 6: Final answer
    x = 1,631.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.