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Finding the Fourth Proportional to 21,697.77, 32,540.62 and 7,655.98

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Solution

The fourth proportional to 21,697.77, 32,540.62 and 7,655.98 is: 11,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.77 : 32,540.62 = 7,655.98 : x
  2. Step 2: Convert to fraction form
    21,697.77/32,540.62 = 7,655.98/x
  3. Step 3: Cross multiply
    21,697.77x = 32,540.62 × 7,655.98
  4. Step 4: Simplify right side
    21,697.77x = 249,130,388.84
  5. Step 5: Solve for x
    x = 249,130,388.84/21,697.77
  6. Step 6: Final answer
    x = 11,481.84

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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.