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Finding the Fourth Proportional to 30,858.66, 42,584.88 and 16,711.46

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Solution

The fourth proportional to 30,858.66, 42,584.88 and 16,711.46 is: 23,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.66 : 42,584.88 = 16,711.46 : x
  2. Step 2: Convert to fraction form
    30,858.66/42,584.88 = 16,711.46/x
  3. Step 3: Cross multiply
    30,858.66x = 42,584.88 × 16,711.46
  4. Step 4: Simplify right side
    30,858.66x = 711,655,518.72
  5. Step 5: Solve for x
    x = 711,655,518.72/30,858.66
  6. Step 6: Final answer
    x = 23,061.78

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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.