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Finding the Fourth Proportional to 2,502.01, 3,750.50 and 1,202.77

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Solution

The fourth proportional to 2,502.01, 3,750.50 and 1,202.77 is: 1,802.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.01 : 3,750.50 = 1,202.77 : x
  2. Step 2: Convert to fraction form
    2,502.01/3,750.50 = 1,202.77/x
  3. Step 3: Cross multiply
    2,502.01x = 3,750.50 × 1,202.77
  4. Step 4: Simplify right side
    2,502.01x = 4,510,982.87
  5. Step 5: Solve for x
    x = 4,510,982.87/2,502.01
  6. Step 6: Final answer
    x = 1,802.94

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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.