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Finding the Fourth Proportional to 25,528, 38,297.76 and 7,996

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Solution

The fourth proportional to 25,528, 38,297.76 and 7,996 is: 11,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,528 : 38,297.76 = 7,996 : x
  2. Step 2: Convert to fraction form
    25,528/38,297.76 = 7,996/x
  3. Step 3: Cross multiply
    25,528x = 38,297.76 × 7,996
  4. Step 4: Simplify right side
    25,528x = 306,228,888.96
  5. Step 5: Solve for x
    x = 306,228,888.96/25,528
  6. Step 6: Final answer
    x = 11,995.80

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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.