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Finding the Fourth Proportional to 21,877.45, 32,821.35 and 7,086.34

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Solution

The fourth proportional to 21,877.45, 32,821.35 and 7,086.34 is: 10,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.45 : 32,821.35 = 7,086.34 : x
  2. Step 2: Convert to fraction form
    21,877.45/32,821.35 = 7,086.34/x
  3. Step 3: Cross multiply
    21,877.45x = 32,821.35 × 7,086.34
  4. Step 4: Simplify right side
    21,877.45x = 232,583,245.36
  5. Step 5: Solve for x
    x = 232,583,245.36/21,877.45
  6. Step 6: Final answer
    x = 10,631.19

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1.5x scale

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.