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Finding the Fourth Proportional to 25,762, 38,628.78 and 7,987.74

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Solution

The fourth proportional to 25,762, 38,628.78 and 7,987.74 is: 11,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762 : 38,628.78 = 7,987.74 : x
  2. Step 2: Convert to fraction form
    25,762/38,628.78 = 7,987.74/x
  3. Step 3: Cross multiply
    25,762x = 38,628.78 × 7,987.74
  4. Step 4: Simplify right side
    25,762x = 308,556,651.16
  5. Step 5: Solve for x
    x = 308,556,651.16/25,762
  6. Step 6: Final answer
    x = 11,977.20

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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.