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Finding the Fourth Proportional to 30,857.84, 42,621.80 and 22,346.48

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Solution

The fourth proportional to 30,857.84, 42,621.80 and 22,346.48 is: 30,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.84 : 42,621.80 = 22,346.48 : x
  2. Step 2: Convert to fraction form
    30,857.84/42,621.80 = 22,346.48/x
  3. Step 3: Cross multiply
    30,857.84x = 42,621.80 × 22,346.48
  4. Step 4: Simplify right side
    30,857.84x = 952,447,201.26
  5. Step 5: Solve for x
    x = 952,447,201.26/30,857.84
  6. Step 6: Final answer
    x = 30,865.65

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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.