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Finding the Fourth Proportional to 31,392.79, 47,088.56 and 9,205.67

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Solution

The fourth proportional to 31,392.79, 47,088.56 and 9,205.67 is: 13,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,392.79 : 47,088.56 = 9,205.67 : x
  2. Step 2: Convert to fraction form
    31,392.79/47,088.56 = 9,205.67/x
  3. Step 3: Cross multiply
    31,392.79x = 47,088.56 × 9,205.67
  4. Step 4: Simplify right side
    31,392.79x = 433,481,884.87
  5. Step 5: Solve for x
    x = 433,481,884.87/31,392.79
  6. Step 6: Final answer
    x = 13,808.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.