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Finding the Fourth Proportional to 3,278.66, 4,920 and 1,330.88

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Solution

The fourth proportional to 3,278.66, 4,920 and 1,330.88 is: 1,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.66 : 4,920 = 1,330.88 : x
  2. Step 2: Convert to fraction form
    3,278.66/4,920 = 1,330.88/x
  3. Step 3: Cross multiply
    3,278.66x = 4,920 × 1,330.88
  4. Step 4: Simplify right side
    3,278.66x = 6,547,929.60
  5. Step 5: Solve for x
    x = 6,547,929.60/3,278.66
  6. Step 6: Final answer
    x = 1,997.14

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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.