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Finding the Fourth Proportional to 28,424.54, 42,629.53 and 8,429.35

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Solution

The fourth proportional to 28,424.54, 42,629.53 and 8,429.35 is: 12,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,424.54 : 42,629.53 = 8,429.35 : x
  2. Step 2: Convert to fraction form
    28,424.54/42,629.53 = 8,429.35/x
  3. Step 3: Cross multiply
    28,424.54x = 42,629.53 × 8,429.35
  4. Step 4: Simplify right side
    28,424.54x = 359,339,228.71
  5. Step 5: Solve for x
    x = 359,339,228.71/28,424.54
  6. Step 6: Final answer
    x = 12,641.87

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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.