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Finding the Fourth Proportional to 31,033.68, 42,819.02 and 18,287.39

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Solution

The fourth proportional to 31,033.68, 42,819.02 and 18,287.39 is: 25,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,033.68 : 42,819.02 = 18,287.39 : x
  2. Step 2: Convert to fraction form
    31,033.68/42,819.02 = 18,287.39/x
  3. Step 3: Cross multiply
    31,033.68x = 42,819.02 × 18,287.39
  4. Step 4: Simplify right side
    31,033.68x = 783,048,041.77
  5. Step 5: Solve for x
    x = 783,048,041.77/31,033.68
  6. Step 6: Final answer
    x = 25,232.20

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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.