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Finding the Fourth Proportional to 21,332.84, 31,987.42 and 9,922.28

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Solution

The fourth proportional to 21,332.84, 31,987.42 and 9,922.28 is: 14,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.84 : 31,987.42 = 9,922.28 : x
  2. Step 2: Convert to fraction form
    21,332.84/31,987.42 = 9,922.28/x
  3. Step 3: Cross multiply
    21,332.84x = 31,987.42 × 9,922.28
  4. Step 4: Simplify right side
    21,332.84x = 317,388,137.72
  5. Step 5: Solve for x
    x = 317,388,137.72/21,332.84
  6. Step 6: Final answer
    x = 14,877.91

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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.