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Finding the Fourth Proportional to 31,888.76, 43,998.32 and 21,820.32

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Solution

The fourth proportional to 31,888.76, 43,998.32 and 21,820.32 is: 30,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888.76 : 43,998.32 = 21,820.32 : x
  2. Step 2: Convert to fraction form
    31,888.76/43,998.32 = 21,820.32/x
  3. Step 3: Cross multiply
    31,888.76x = 43,998.32 × 21,820.32
  4. Step 4: Simplify right side
    31,888.76x = 960,057,476.41
  5. Step 5: Solve for x
    x = 960,057,476.41/31,888.76
  6. Step 6: Final answer
    x = 30,106.46

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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.