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Finding the Fourth Proportional to 15,986, 23,987.64 and 7,778

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Solution

The fourth proportional to 15,986, 23,987.64 and 7,778 is: 11,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986 : 23,987.64 = 7,778 : x
  2. Step 2: Convert to fraction form
    15,986/23,987.64 = 7,778/x
  3. Step 3: Cross multiply
    15,986x = 23,987.64 × 7,778
  4. Step 4: Simplify right side
    15,986x = 186,575,863.92
  5. Step 5: Solve for x
    x = 186,575,863.92/15,986
  6. Step 6: Final answer
    x = 11,671.20

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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.