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Finding the Fourth Proportional to 19,681.92, 29,511.95 and 7,981.47

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Solution

The fourth proportional to 19,681.92, 29,511.95 and 7,981.47 is: 11,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.92 : 29,511.95 = 7,981.47 : x
  2. Step 2: Convert to fraction form
    19,681.92/29,511.95 = 7,981.47/x
  3. Step 3: Cross multiply
    19,681.92x = 29,511.95 × 7,981.47
  4. Step 4: Simplify right side
    19,681.92x = 235,548,703.66
  5. Step 5: Solve for x
    x = 235,548,703.66/19,681.92
  6. Step 6: Final answer
    x = 11,967.77

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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.