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Finding the Fourth Proportional to 21,770.79, 32,652.92 and 6,977.71

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Solution

The fourth proportional to 21,770.79, 32,652.92 and 6,977.71 is: 10,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.79 : 32,652.92 = 6,977.71 : x
  2. Step 2: Convert to fraction form
    21,770.79/32,652.92 = 6,977.71/x
  3. Step 3: Cross multiply
    21,770.79x = 32,652.92 × 6,977.71
  4. Step 4: Simplify right side
    21,770.79x = 227,842,664.67
  5. Step 5: Solve for x
    x = 227,842,664.67/21,770.79
  6. Step 6: Final answer
    x = 10,465.52

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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.