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Finding the Fourth Proportional to 21,635.50, 32,453.28 and 5,219.50

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Solution

The fourth proportional to 21,635.50, 32,453.28 and 5,219.50 is: 7,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,635.50 : 32,453.28 = 5,219.50 : x
  2. Step 2: Convert to fraction form
    21,635.50/32,453.28 = 5,219.50/x
  3. Step 3: Cross multiply
    21,635.50x = 32,453.28 × 5,219.50
  4. Step 4: Simplify right side
    21,635.50x = 169,389,894.96
  5. Step 5: Solve for x
    x = 169,389,894.96/21,635.50
  6. Step 6: Final answer
    x = 7,829.26

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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.