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Finding the Fourth Proportional to 3,803, 5,248.26 and 2,124.48

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Solution

The fourth proportional to 3,803, 5,248.26 and 2,124.48 is: 2,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803 : 5,248.26 = 2,124.48 : x
  2. Step 2: Convert to fraction form
    3,803/5,248.26 = 2,124.48/x
  3. Step 3: Cross multiply
    3,803x = 5,248.26 × 2,124.48
  4. Step 4: Simplify right side
    3,803x = 11,149,812.78
  5. Step 5: Solve for x
    x = 11,149,812.78/3,803
  6. Step 6: Final answer
    x = 2,931.85

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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.