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Finding the Fourth Proportional to 19,875.78, 29,773.86 and 11,973.90

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Solution

The fourth proportional to 19,875.78, 29,773.86 and 11,973.90 is: 17,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.78 : 29,773.86 = 11,973.90 : x
  2. Step 2: Convert to fraction form
    19,875.78/29,773.86 = 11,973.90/x
  3. Step 3: Cross multiply
    19,875.78x = 29,773.86 × 11,973.90
  4. Step 4: Simplify right side
    19,875.78x = 356,509,222.25
  5. Step 5: Solve for x
    x = 356,509,222.25/19,875.78
  6. Step 6: Final answer
    x = 17,936.87

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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.