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Finding the Fourth Proportional to 31,615.41, 47,409.08 and 16,821.21

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Solution

The fourth proportional to 31,615.41, 47,409.08 and 16,821.21 is: 25,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.41 : 47,409.08 = 16,821.21 : x
  2. Step 2: Convert to fraction form
    31,615.41/47,409.08 = 16,821.21/x
  3. Step 3: Cross multiply
    31,615.41x = 47,409.08 × 16,821.21
  4. Step 4: Simplify right side
    31,615.41x = 797,478,006.48
  5. Step 5: Solve for x
    x = 797,478,006.48/31,615.41
  6. Step 6: Final answer
    x = 25,224.34

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1.5x scale

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.