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Finding the Fourth Proportional to 47,911.71, 71,862.06 and 12,848.61

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Solution

The fourth proportional to 47,911.71, 71,862.06 and 12,848.61 is: 19,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,911.71 : 71,862.06 = 12,848.61 : x
  2. Step 2: Convert to fraction form
    47,911.71/71,862.06 = 12,848.61/x
  3. Step 3: Cross multiply
    47,911.71x = 71,862.06 × 12,848.61
  4. Step 4: Simplify right side
    47,911.71x = 923,327,582.74
  5. Step 5: Solve for x
    x = 923,327,582.74/47,911.71
  6. Step 6: Final answer
    x = 19,271.44

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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.