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Finding the Fourth Proportional to 21,449.99, 32,167.07 and 7,406.40

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Solution

The fourth proportional to 21,449.99, 32,167.07 and 7,406.40 is: 11,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,449.99 : 32,167.07 = 7,406.40 : x
  2. Step 2: Convert to fraction form
    21,449.99/32,167.07 = 7,406.40/x
  3. Step 3: Cross multiply
    21,449.99x = 32,167.07 × 7,406.40
  4. Step 4: Simplify right side
    21,449.99x = 238,242,150.22
  5. Step 5: Solve for x
    x = 238,242,150.22/21,449.99
  6. Step 6: Final answer
    x = 11,106.87

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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.