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Finding the Fourth Proportional to 25,574.40, 38,361.06 and 9,991.98

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Solution

The fourth proportional to 25,574.40, 38,361.06 and 9,991.98 is: 14,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.40 : 38,361.06 = 9,991.98 : x
  2. Step 2: Convert to fraction form
    25,574.40/38,361.06 = 9,991.98/x
  3. Step 3: Cross multiply
    25,574.40x = 38,361.06 × 9,991.98
  4. Step 4: Simplify right side
    25,574.40x = 383,302,944.30
  5. Step 5: Solve for x
    x = 383,302,944.30/25,574.40
  6. Step 6: Final answer
    x = 14,987.76

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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.