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Finding the Fourth Proportional to 30,864, 42,612.80 and 19,108.48

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Solution

The fourth proportional to 30,864, 42,612.80 and 19,108.48 is: 26,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,864 : 42,612.80 = 19,108.48 : x
  2. Step 2: Convert to fraction form
    30,864/42,612.80 = 19,108.48/x
  3. Step 3: Cross multiply
    30,864x = 42,612.80 × 19,108.48
  4. Step 4: Simplify right side
    30,864x = 814,265,836.54
  5. Step 5: Solve for x
    x = 814,265,836.54/30,864
  6. Step 6: Final answer
    x = 26,382.38

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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.