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Finding the Fourth Proportional to 8,158, 11,264.52 and 6,398.68

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Solution

The fourth proportional to 8,158, 11,264.52 and 6,398.68 is: 8,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158 : 11,264.52 = 6,398.68 : x
  2. Step 2: Convert to fraction form
    8,158/11,264.52 = 6,398.68/x
  3. Step 3: Cross multiply
    8,158x = 11,264.52 × 6,398.68
  4. Step 4: Simplify right side
    8,158x = 72,078,058.83
  5. Step 5: Solve for x
    x = 72,078,058.83/8,158
  6. Step 6: Final answer
    x = 8,835.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.