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Finding the Fourth Proportional to 19,907.80, 29,865.30 and 10,022.20

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Solution

The fourth proportional to 19,907.80, 29,865.30 and 10,022.20 is: 15,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.80 : 29,865.30 = 10,022.20 : x
  2. Step 2: Convert to fraction form
    19,907.80/29,865.30 = 10,022.20/x
  3. Step 3: Cross multiply
    19,907.80x = 29,865.30 × 10,022.20
  4. Step 4: Simplify right side
    19,907.80x = 299,316,009.66
  5. Step 5: Solve for x
    x = 299,316,009.66/19,907.80
  6. Step 6: Final answer
    x = 15,035.11

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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.