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Finding the Fourth Proportional to 2,503.49, 3,752.43 and 857.76

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Solution

The fourth proportional to 2,503.49, 3,752.43 and 857.76 is: 1,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.49 : 3,752.43 = 857.76 : x
  2. Step 2: Convert to fraction form
    2,503.49/3,752.43 = 857.76/x
  3. Step 3: Cross multiply
    2,503.49x = 3,752.43 × 857.76
  4. Step 4: Simplify right side
    2,503.49x = 3,218,684.36
  5. Step 5: Solve for x
    x = 3,218,684.36/2,503.49
  6. Step 6: Final answer
    x = 1,285.68

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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.