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Finding the Fourth Proportional to 19,885.53, 29,828.31 and 9,347.82

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Solution

The fourth proportional to 19,885.53, 29,828.31 and 9,347.82 is: 14,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885.53 : 29,828.31 = 9,347.82 : x
  2. Step 2: Convert to fraction form
    19,885.53/29,828.31 = 9,347.82/x
  3. Step 3: Cross multiply
    19,885.53x = 29,828.31 × 9,347.82
  4. Step 4: Simplify right side
    19,885.53x = 278,829,672.78
  5. Step 5: Solve for x
    x = 278,829,672.78/19,885.53
  6. Step 6: Final answer
    x = 14,021.74

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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.