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Finding the Fourth Proportional to 30,264, 45,400.26 and 8,078.10

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Solution

The fourth proportional to 30,264, 45,400.26 and 8,078.10 is: 12,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,264 : 45,400.26 = 8,078.10 : x
  2. Step 2: Convert to fraction form
    30,264/45,400.26 = 8,078.10/x
  3. Step 3: Cross multiply
    30,264x = 45,400.26 × 8,078.10
  4. Step 4: Simplify right side
    30,264x = 366,747,840.31
  5. Step 5: Solve for x
    x = 366,747,840.31/30,264
  6. Step 6: Final answer
    x = 12,118.29

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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.