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Finding the Fourth Proportional to 7,419, 11,129.76 and 3,521.28

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Solution

The fourth proportional to 7,419, 11,129.76 and 3,521.28 is: 5,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419 : 11,129.76 = 3,521.28 : x
  2. Step 2: Convert to fraction form
    7,419/11,129.76 = 3,521.28/x
  3. Step 3: Cross multiply
    7,419x = 11,129.76 × 3,521.28
  4. Step 4: Simplify right side
    7,419x = 39,191,001.29
  5. Step 5: Solve for x
    x = 39,191,001.29/7,419
  6. Step 6: Final answer
    x = 5,282.52

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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.