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Finding the Fourth Proportional to 19,776.78, 29,681.37 and 8,090.10

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Solution

The fourth proportional to 19,776.78, 29,681.37 and 8,090.10 is: 12,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.78 : 29,681.37 = 8,090.10 : x
  2. Step 2: Convert to fraction form
    19,776.78/29,681.37 = 8,090.10/x
  3. Step 3: Cross multiply
    19,776.78x = 29,681.37 × 8,090.10
  4. Step 4: Simplify right side
    19,776.78x = 240,125,251.44
  5. Step 5: Solve for x
    x = 240,125,251.44/19,776.78
  6. Step 6: Final answer
    x = 12,141.78

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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.