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Finding the Fourth Proportional to 28,298.66, 42,454.12 and 8,578.71

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Solution

The fourth proportional to 28,298.66, 42,454.12 and 8,578.71 is: 12,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,298.66 : 42,454.12 = 8,578.71 : x
  2. Step 2: Convert to fraction form
    28,298.66/42,454.12 = 8,578.71/x
  3. Step 3: Cross multiply
    28,298.66x = 42,454.12 × 8,578.71
  4. Step 4: Simplify right side
    28,298.66x = 364,201,371.51
  5. Step 5: Solve for x
    x = 364,201,371.51/28,298.66
  6. Step 6: Final answer
    x = 12,869.92

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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.