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Finding the Fourth Proportional to 19,671.90, 29,509.29 and 7,981.98

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Solution

The fourth proportional to 19,671.90, 29,509.29 and 7,981.98 is: 11,973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.90 : 29,509.29 = 7,981.98 : x
  2. Step 2: Convert to fraction form
    19,671.90/29,509.29 = 7,981.98/x
  3. Step 3: Cross multiply
    19,671.90x = 29,509.29 × 7,981.98
  4. Step 4: Simplify right side
    19,671.90x = 235,542,562.59
  5. Step 5: Solve for x
    x = 235,542,562.59/19,671.90
  6. Step 6: Final answer
    x = 11,973.55

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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.