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Finding the Fourth Proportional to 28,578.48, 42,869.76 and 9,858.24

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Solution

The fourth proportional to 28,578.48, 42,869.76 and 9,858.24 is: 14,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,578.48 : 42,869.76 = 9,858.24 : x
  2. Step 2: Convert to fraction form
    28,578.48/42,869.76 = 9,858.24/x
  3. Step 3: Cross multiply
    28,578.48x = 42,869.76 × 9,858.24
  4. Step 4: Simplify right side
    28,578.48x = 422,620,382.82
  5. Step 5: Solve for x
    x = 422,620,382.82/28,578.48
  6. Step 6: Final answer
    x = 14,788.06

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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.