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Finding the Fourth Proportional to 21,309, 31,969.58 and 7,272.15

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Solution

The fourth proportional to 21,309, 31,969.58 and 7,272.15 is: 10,910.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309 : 31,969.58 = 7,272.15 : x
  2. Step 2: Convert to fraction form
    21,309/31,969.58 = 7,272.15/x
  3. Step 3: Cross multiply
    21,309x = 31,969.58 × 7,272.15
  4. Step 4: Simplify right side
    21,309x = 232,487,544.84
  5. Step 5: Solve for x
    x = 232,487,544.84/21,309
  6. Step 6: Final answer
    x = 10,910.30

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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.