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Finding the Fourth Proportional to 19,554, 29,331.48 and 7,075.20

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Solution

The fourth proportional to 19,554, 29,331.48 and 7,075.20 is: 10,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,554 : 29,331.48 = 7,075.20 : x
  2. Step 2: Convert to fraction form
    19,554/29,331.48 = 7,075.20/x
  3. Step 3: Cross multiply
    19,554x = 29,331.48 × 7,075.20
  4. Step 4: Simplify right side
    19,554x = 207,526,087.30
  5. Step 5: Solve for x
    x = 207,526,087.30/19,554
  6. Step 6: Final answer
    x = 10,612.97

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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.