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Finding the Fourth Proportional to 2,123.02, 3,184.02 and 661.78

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Solution

The fourth proportional to 2,123.02, 3,184.02 and 661.78 is: 992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.02 : 3,184.02 = 661.78 : x
  2. Step 2: Convert to fraction form
    2,123.02/3,184.02 = 661.78/x
  3. Step 3: Cross multiply
    2,123.02x = 3,184.02 × 661.78
  4. Step 4: Simplify right side
    2,123.02x = 2,107,120.76
  5. Step 5: Solve for x
    x = 2,107,120.76/2,123.02
  6. Step 6: Final answer
    x = 992.51

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Half scale
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Double scale
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Similar ratio
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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.