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Finding the Fourth Proportional to 28,550.69, 42,828.90 and 9,828.24

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Solution

The fourth proportional to 28,550.69, 42,828.90 and 9,828.24 is: 14,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,550.69 : 42,828.90 = 9,828.24 : x
  2. Step 2: Convert to fraction form
    28,550.69/42,828.90 = 9,828.24/x
  3. Step 3: Cross multiply
    28,550.69x = 42,828.90 × 9,828.24
  4. Step 4: Simplify right side
    28,550.69x = 420,932,708.14
  5. Step 5: Solve for x
    x = 420,932,708.14/28,550.69
  6. Step 6: Final answer
    x = 14,743.35

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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.