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Finding the Fourth Proportional to 21,985.02, 32,978.42 and 6,402.64

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Solution

The fourth proportional to 21,985.02, 32,978.42 and 6,402.64 is: 9,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,985.02 : 32,978.42 = 6,402.64 : x
  2. Step 2: Convert to fraction form
    21,985.02/32,978.42 = 6,402.64/x
  3. Step 3: Cross multiply
    21,985.02x = 32,978.42 × 6,402.64
  4. Step 4: Simplify right side
    21,985.02x = 211,148,951.03
  5. Step 5: Solve for x
    x = 211,148,951.03/21,985.02
  6. Step 6: Final answer
    x = 9,604.22

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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.