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Finding the Fourth Proportional to 31,978.40, 47,953 and 15,346.26

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Solution

The fourth proportional to 31,978.40, 47,953 and 15,346.26 is: 23,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978.40 : 47,953 = 15,346.26 : x
  2. Step 2: Convert to fraction form
    31,978.40/47,953 = 15,346.26/x
  3. Step 3: Cross multiply
    31,978.40x = 47,953 × 15,346.26
  4. Step 4: Simplify right side
    31,978.40x = 735,899,205.78
  5. Step 5: Solve for x
    x = 735,899,205.78/31,978.40
  6. Step 6: Final answer
    x = 23,012.38

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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.