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Finding the Fourth Proportional to 2,248, 3,102.72 and 1,420.48

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Solution

The fourth proportional to 2,248, 3,102.72 and 1,420.48 is: 1,960.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248 : 3,102.72 = 1,420.48 : x
  2. Step 2: Convert to fraction form
    2,248/3,102.72 = 1,420.48/x
  3. Step 3: Cross multiply
    2,248x = 3,102.72 × 1,420.48
  4. Step 4: Simplify right side
    2,248x = 4,407,351.71
  5. Step 5: Solve for x
    x = 4,407,351.71/2,248
  6. Step 6: Final answer
    x = 1,960.57

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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.