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Finding the Fourth Proportional to 21,329.60, 31,994.10 and 9,642.80

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Solution

The fourth proportional to 21,329.60, 31,994.10 and 9,642.80 is: 14,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,329.60 : 31,994.10 = 9,642.80 : x
  2. Step 2: Convert to fraction form
    21,329.60/31,994.10 = 9,642.80/x
  3. Step 3: Cross multiply
    21,329.60x = 31,994.10 × 9,642.80
  4. Step 4: Simplify right side
    21,329.60x = 308,512,707.48
  5. Step 5: Solve for x
    x = 308,512,707.48/21,329.60
  6. Step 6: Final answer
    x = 14,464.06

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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.