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Finding the Fourth Proportional to 19,807.80, 29,710.25 and 7,322.01

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Solution

The fourth proportional to 19,807.80, 29,710.25 and 7,322.01 is: 10,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.80 : 29,710.25 = 7,322.01 : x
  2. Step 2: Convert to fraction form
    19,807.80/29,710.25 = 7,322.01/x
  3. Step 3: Cross multiply
    19,807.80x = 29,710.25 × 7,322.01
  4. Step 4: Simplify right side
    19,807.80x = 217,538,710.99
  5. Step 5: Solve for x
    x = 217,538,710.99/19,807.80
  6. Step 6: Final answer
    x = 10,982.48

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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.