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Finding the Fourth Proportional to 19,881.18, 29,825.40 and 8,188.02

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Solution

The fourth proportional to 19,881.18, 29,825.40 and 8,188.02 is: 12,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.18 : 29,825.40 = 8,188.02 : x
  2. Step 2: Convert to fraction form
    19,881.18/29,825.40 = 8,188.02/x
  3. Step 3: Cross multiply
    19,881.18x = 29,825.40 × 8,188.02
  4. Step 4: Simplify right side
    19,881.18x = 244,210,971.71
  5. Step 5: Solve for x
    x = 244,210,971.71/19,881.18
  6. Step 6: Final answer
    x = 12,283.53

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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.