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Finding the Fourth Proportional to 21,624.74, 32,438.64 and 7,583.12

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Solution

The fourth proportional to 21,624.74, 32,438.64 and 7,583.12 is: 11,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,624.74 : 32,438.64 = 7,583.12 : x
  2. Step 2: Convert to fraction form
    21,624.74/32,438.64 = 7,583.12/x
  3. Step 3: Cross multiply
    21,624.74x = 32,438.64 × 7,583.12
  4. Step 4: Simplify right side
    21,624.74x = 245,986,099.76
  5. Step 5: Solve for x
    x = 245,986,099.76/21,624.74
  6. Step 6: Final answer
    x = 11,375.22

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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.