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Finding the Fourth Proportional to 25,978.32, 38,995.04 and 21,106.76

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Solution

The fourth proportional to 25,978.32, 38,995.04 and 21,106.76 is: 31,682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.32 : 38,995.04 = 21,106.76 : x
  2. Step 2: Convert to fraction form
    25,978.32/38,995.04 = 21,106.76/x
  3. Step 3: Cross multiply
    25,978.32x = 38,995.04 × 21,106.76
  4. Step 4: Simplify right side
    25,978.32x = 823,058,950.47
  5. Step 5: Solve for x
    x = 823,058,950.47/25,978.32
  6. Step 6: Final answer
    x = 31,682.53

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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.