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Finding the Fourth Proportional to 19,521.50, 29,264.43 and 7,031.30

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Solution

The fourth proportional to 19,521.50, 29,264.43 and 7,031.30 is: 10,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,521.50 : 29,264.43 = 7,031.30 : x
  2. Step 2: Convert to fraction form
    19,521.50/29,264.43 = 7,031.30/x
  3. Step 3: Cross multiply
    19,521.50x = 29,264.43 × 7,031.30
  4. Step 4: Simplify right side
    19,521.50x = 205,766,986.66
  5. Step 5: Solve for x
    x = 205,766,986.66/19,521.50
  6. Step 6: Final answer
    x = 10,540.53

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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.