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Finding the Fourth Proportional to 3,521, 5,281.58 and 1,330.76

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Solution

The fourth proportional to 3,521, 5,281.58 and 1,330.76 is: 1,996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521 : 5,281.58 = 1,330.76 : x
  2. Step 2: Convert to fraction form
    3,521/5,281.58 = 1,330.76/x
  3. Step 3: Cross multiply
    3,521x = 5,281.58 × 1,330.76
  4. Step 4: Simplify right side
    3,521x = 7,028,508.75
  5. Step 5: Solve for x
    x = 7,028,508.75/3,521
  6. Step 6: Final answer
    x = 1,996.17

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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.