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Finding the Fourth Proportional to 31,889.70, 47,836.35 and 9,703.80

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Solution

The fourth proportional to 31,889.70, 47,836.35 and 9,703.80 is: 14,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,889.70 : 47,836.35 = 9,703.80 : x
  2. Step 2: Convert to fraction form
    31,889.70/47,836.35 = 9,703.80/x
  3. Step 3: Cross multiply
    31,889.70x = 47,836.35 × 9,703.80
  4. Step 4: Simplify right side
    31,889.70x = 464,194,373.13
  5. Step 5: Solve for x
    x = 464,194,373.13/31,889.70
  6. Step 6: Final answer
    x = 14,556.25

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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.