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Finding the Fourth Proportional to 2,502.35, 3,750.27 and 1,019.85

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Solution

The fourth proportional to 2,502.35, 3,750.27 and 1,019.85 is: 1,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.35 : 3,750.27 = 1,019.85 : x
  2. Step 2: Convert to fraction form
    2,502.35/3,750.27 = 1,019.85/x
  3. Step 3: Cross multiply
    2,502.35x = 3,750.27 × 1,019.85
  4. Step 4: Simplify right side
    2,502.35x = 3,824,712.86
  5. Step 5: Solve for x
    x = 3,824,712.86/2,502.35
  6. Step 6: Final answer
    x = 1,528.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.