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Finding the Fourth Proportional to 2,230, 3,341.76 and 1,254.76

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Solution

The fourth proportional to 2,230, 3,341.76 and 1,254.76 is: 1,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230 : 3,341.76 = 1,254.76 : x
  2. Step 2: Convert to fraction form
    2,230/3,341.76 = 1,254.76/x
  3. Step 3: Cross multiply
    2,230x = 3,341.76 × 1,254.76
  4. Step 4: Simplify right side
    2,230x = 4,193,106.78
  5. Step 5: Solve for x
    x = 4,193,106.78/2,230
  6. Step 6: Final answer
    x = 1,880.32

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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.