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Finding the Fourth Proportional to 28,031.76, 42,041.82 and 8,305.68

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Solution

The fourth proportional to 28,031.76, 42,041.82 and 8,305.68 is: 12,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,031.76 : 42,041.82 = 8,305.68 : x
  2. Step 2: Convert to fraction form
    28,031.76/42,041.82 = 8,305.68/x
  3. Step 3: Cross multiply
    28,031.76x = 42,041.82 × 8,305.68
  4. Step 4: Simplify right side
    28,031.76x = 349,185,903.54
  5. Step 5: Solve for x
    x = 349,185,903.54/28,031.76
  6. Step 6: Final answer
    x = 12,456.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.