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Finding the Fourth Proportional to 31,907.64, 47,868.28 and 9,722.79

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Solution

The fourth proportional to 31,907.64, 47,868.28 and 9,722.79 is: 14,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.64 : 47,868.28 = 9,722.79 : x
  2. Step 2: Convert to fraction form
    31,907.64/47,868.28 = 9,722.79/x
  3. Step 3: Cross multiply
    31,907.64x = 47,868.28 × 9,722.79
  4. Step 4: Simplify right side
    31,907.64x = 465,413,234.10
  5. Step 5: Solve for x
    x = 465,413,234.10/31,907.64
  6. Step 6: Final answer
    x = 14,586.26

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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.