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Finding the Fourth Proportional to 25,570.24, 38,361.04 and 9,988

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Solution

The fourth proportional to 25,570.24, 38,361.04 and 9,988 is: 14,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,570.24 : 38,361.04 = 9,988 : x
  2. Step 2: Convert to fraction form
    25,570.24/38,361.04 = 9,988/x
  3. Step 3: Cross multiply
    25,570.24x = 38,361.04 × 9,988
  4. Step 4: Simplify right side
    25,570.24x = 383,150,067.52
  5. Step 5: Solve for x
    x = 383,150,067.52/25,570.24
  6. Step 6: Final answer
    x = 14,984.22

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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.