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Finding the Fourth Proportional to 30,594.32, 42,220.64 and 16,982

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Solution

The fourth proportional to 30,594.32, 42,220.64 and 16,982 is: 23,435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.32 : 42,220.64 = 16,982 : x
  2. Step 2: Convert to fraction form
    30,594.32/42,220.64 = 16,982/x
  3. Step 3: Cross multiply
    30,594.32x = 42,220.64 × 16,982
  4. Step 4: Simplify right side
    30,594.32x = 716,990,908.48
  5. Step 5: Solve for x
    x = 716,990,908.48/30,594.32
  6. Step 6: Final answer
    x = 23,435.43

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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.