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Finding the Fourth Proportional to 31,647.96, 47,471.76 and 12,924

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Solution

The fourth proportional to 31,647.96, 47,471.76 and 12,924 is: 19,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,647.96 : 47,471.76 = 12,924 : x
  2. Step 2: Convert to fraction form
    31,647.96/47,471.76 = 12,924/x
  3. Step 3: Cross multiply
    31,647.96x = 47,471.76 × 12,924
  4. Step 4: Simplify right side
    31,647.96x = 613,525,026.24
  5. Step 5: Solve for x
    x = 613,525,026.24/31,647.96
  6. Step 6: Final answer
    x = 19,385.93

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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.