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Finding the Fourth Proportional to 21,652.50, 32,478.78 and 5,236.50

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Solution

The fourth proportional to 21,652.50, 32,478.78 and 5,236.50 is: 7,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,652.50 : 32,478.78 = 5,236.50 : x
  2. Step 2: Convert to fraction form
    21,652.50/32,478.78 = 5,236.50/x
  3. Step 3: Cross multiply
    21,652.50x = 32,478.78 × 5,236.50
  4. Step 4: Simplify right side
    21,652.50x = 170,075,131.47
  5. Step 5: Solve for x
    x = 170,075,131.47/21,652.50
  6. Step 6: Final answer
    x = 7,854.76

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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.