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Finding the Fourth Proportional to 21,987.11, 32,978.14 and 6,404.74

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Solution

The fourth proportional to 21,987.11, 32,978.14 and 6,404.74 is: 9,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.11 : 32,978.14 = 6,404.74 : x
  2. Step 2: Convert to fraction form
    21,987.11/32,978.14 = 6,404.74/x
  3. Step 3: Cross multiply
    21,987.11x = 32,978.14 × 6,404.74
  4. Step 4: Simplify right side
    21,987.11x = 211,216,313.93
  5. Step 5: Solve for x
    x = 211,216,313.93/21,987.11
  6. Step 6: Final answer
    x = 9,606.37

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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.