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Finding the Fourth Proportional to 31,808, 47,712.02 and 9,920

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Solution

The fourth proportional to 31,808, 47,712.02 and 9,920 is: 14,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808 : 47,712.02 = 9,920 : x
  2. Step 2: Convert to fraction form
    31,808/47,712.02 = 9,920/x
  3. Step 3: Cross multiply
    31,808x = 47,712.02 × 9,920
  4. Step 4: Simplify right side
    31,808x = 473,303,238.40
  5. Step 5: Solve for x
    x = 473,303,238.40/31,808
  6. Step 6: Final answer
    x = 14,880.01

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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.