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Finding the Fourth Proportional to 30,469.68, 42,009.84 and 23,308.32

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Solution

The fourth proportional to 30,469.68, 42,009.84 and 23,308.32 is: 32,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.68 : 42,009.84 = 23,308.32 : x
  2. Step 2: Convert to fraction form
    30,469.68/42,009.84 = 23,308.32/x
  3. Step 3: Cross multiply
    30,469.68x = 42,009.84 × 23,308.32
  4. Step 4: Simplify right side
    30,469.68x = 979,178,793.87
  5. Step 5: Solve for x
    x = 979,178,793.87/30,469.68
  6. Step 6: Final answer
    x = 32,136.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.