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Finding the Fourth Proportional to 1,502.70, 2,073.78 and 873.60

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Solution

The fourth proportional to 1,502.70, 2,073.78 and 873.60 is: 1,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.70 : 2,073.78 = 873.60 : x
  2. Step 2: Convert to fraction form
    1,502.70/2,073.78 = 873.60/x
  3. Step 3: Cross multiply
    1,502.70x = 2,073.78 × 873.60
  4. Step 4: Simplify right side
    1,502.70x = 1,811,654.21
  5. Step 5: Solve for x
    x = 1,811,654.21/1,502.70
  6. Step 6: Final answer
    x = 1,205.60

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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.