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Finding the Fourth Proportional to 31,806, 47,709.02 and 9,918

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Solution

The fourth proportional to 31,806, 47,709.02 and 9,918 is: 14,877.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806 : 47,709.02 = 9,918 : x
  2. Step 2: Convert to fraction form
    31,806/47,709.02 = 9,918/x
  3. Step 3: Cross multiply
    31,806x = 47,709.02 × 9,918
  4. Step 4: Simplify right side
    31,806x = 473,178,060.36
  5. Step 5: Solve for x
    x = 473,178,060.36/31,806
  6. Step 6: Final answer
    x = 14,877.01

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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.