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Finding the Fourth Proportional to 22,970.88, 31,697.88 and 13,899.64

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Solution

The fourth proportional to 22,970.88, 31,697.88 and 13,899.64 is: 19,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.88 : 31,697.88 = 13,899.64 : x
  2. Step 2: Convert to fraction form
    22,970.88/31,697.88 = 13,899.64/x
  3. Step 3: Cross multiply
    22,970.88x = 31,697.88 × 13,899.64
  4. Step 4: Simplify right side
    22,970.88x = 440,589,120.76
  5. Step 5: Solve for x
    x = 440,589,120.76/22,970.88
  6. Step 6: Final answer
    x = 19,180.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.