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Finding the Fourth Proportional to 30,959.74, 42,723.30 and 16,812.28

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Solution

The fourth proportional to 30,959.74, 42,723.30 and 16,812.28 is: 23,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.74 : 42,723.30 = 16,812.28 : x
  2. Step 2: Convert to fraction form
    30,959.74/42,723.30 = 16,812.28/x
  3. Step 3: Cross multiply
    30,959.74x = 42,723.30 × 16,812.28
  4. Step 4: Simplify right side
    30,959.74x = 718,276,082.12
  5. Step 5: Solve for x
    x = 718,276,082.12/30,959.74
  6. Step 6: Final answer
    x = 23,200.33

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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.