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Finding the Fourth Proportional to 21,281.88, 31,908.01 and 9,429.22

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Solution

The fourth proportional to 21,281.88, 31,908.01 and 9,429.22 is: 14,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,281.88 : 31,908.01 = 9,429.22 : x
  2. Step 2: Convert to fraction form
    21,281.88/31,908.01 = 9,429.22/x
  3. Step 3: Cross multiply
    21,281.88x = 31,908.01 × 9,429.22
  4. Step 4: Simplify right side
    21,281.88x = 300,867,646.05
  5. Step 5: Solve for x
    x = 300,867,646.05/21,281.88
  6. Step 6: Final answer
    x = 14,137.27

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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.