Home / 25,412-38,126.40-9,829.76

Finding the Fourth Proportional to 25,412, 38,126.40 and 9,829.76

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Solution

The fourth proportional to 25,412, 38,126.40 and 9,829.76 is: 14,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412 : 38,126.40 = 9,829.76 : x
  2. Step 2: Convert to fraction form
    25,412/38,126.40 = 9,829.76/x
  3. Step 3: Cross multiply
    25,412x = 38,126.40 × 9,829.76
  4. Step 4: Simplify right side
    25,412x = 374,773,361.66
  5. Step 5: Solve for x
    x = 374,773,361.66/25,412
  6. Step 6: Final answer
    x = 14,747.89

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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.