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Finding the Fourth Proportional to 28,025.29, 42,038.09 and 8,304.02

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Solution

The fourth proportional to 28,025.29, 42,038.09 and 8,304.02 is: 12,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,025.29 : 42,038.09 = 8,304.02 : x
  2. Step 2: Convert to fraction form
    28,025.29/42,038.09 = 8,304.02/x
  3. Step 3: Cross multiply
    28,025.29x = 42,038.09 × 8,304.02
  4. Step 4: Simplify right side
    28,025.29x = 349,085,077.19
  5. Step 5: Solve for x
    x = 349,085,077.19/28,025.29
  6. Step 6: Final answer
    x = 12,456.07

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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.