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Finding the Fourth Proportional to 31,663, 47,494.50 and 13,195

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Solution

The fourth proportional to 31,663, 47,494.50 and 13,195 is: 19,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,663 : 47,494.50 = 13,195 : x
  2. Step 2: Convert to fraction form
    31,663/47,494.50 = 13,195/x
  3. Step 3: Cross multiply
    31,663x = 47,494.50 × 13,195
  4. Step 4: Simplify right side
    31,663x = 626,689,927.50
  5. Step 5: Solve for x
    x = 626,689,927.50/31,663
  6. Step 6: Final answer
    x = 19,792.50

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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.