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Finding the Fourth Proportional to 21,770.64, 32,652.72 and 6,978.02

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Solution

The fourth proportional to 21,770.64, 32,652.72 and 6,978.02 is: 10,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.64 : 32,652.72 = 6,978.02 : x
  2. Step 2: Convert to fraction form
    21,770.64/32,652.72 = 6,978.02/x
  3. Step 3: Cross multiply
    21,770.64x = 32,652.72 × 6,978.02
  4. Step 4: Simplify right side
    21,770.64x = 227,851,169.95
  5. Step 5: Solve for x
    x = 227,851,169.95/21,770.64
  6. Step 6: Final answer
    x = 10,465.98

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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.