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Finding the Fourth Proportional to 31,978.23, 47,967.30 and 8,604.66

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Solution

The fourth proportional to 31,978.23, 47,967.30 and 8,604.66 is: 12,906.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978.23 : 47,967.30 = 8,604.66 : x
  2. Step 2: Convert to fraction form
    31,978.23/47,967.30 = 8,604.66/x
  3. Step 3: Cross multiply
    31,978.23x = 47,967.30 × 8,604.66
  4. Step 4: Simplify right side
    31,978.23x = 412,742,307.62
  5. Step 5: Solve for x
    x = 412,742,307.62/31,978.23
  6. Step 6: Final answer
    x = 12,906.98

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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.