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Finding the Fourth Proportional to 21,984.58, 32,969.85 and 7,189.51

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Solution

The fourth proportional to 21,984.58, 32,969.85 and 7,189.51 is: 10,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984.58 : 32,969.85 = 7,189.51 : x
  2. Step 2: Convert to fraction form
    21,984.58/32,969.85 = 7,189.51/x
  3. Step 3: Cross multiply
    21,984.58x = 32,969.85 × 7,189.51
  4. Step 4: Simplify right side
    21,984.58x = 237,037,066.27
  5. Step 5: Solve for x
    x = 237,037,066.27/21,984.58
  6. Step 6: Final answer
    x = 10,781.97

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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.