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Finding the Fourth Proportional to 21,614.99, 32,431.12 and 7,765.07

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Solution

The fourth proportional to 21,614.99, 32,431.12 and 7,765.07 is: 11,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.99 : 32,431.12 = 7,765.07 : x
  2. Step 2: Convert to fraction form
    21,614.99/32,431.12 = 7,765.07/x
  3. Step 3: Cross multiply
    21,614.99x = 32,431.12 × 7,765.07
  4. Step 4: Simplify right side
    21,614.99x = 251,829,735.41
  5. Step 5: Solve for x
    x = 251,829,735.41/21,614.99
  6. Step 6: Final answer
    x = 11,650.70

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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.