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Finding the Fourth Proportional to 11,335, 15,642.30 and 6,367

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Solution

The fourth proportional to 11,335, 15,642.30 and 6,367 is: 8,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,335 : 15,642.30 = 6,367 : x
  2. Step 2: Convert to fraction form
    11,335/15,642.30 = 6,367/x
  3. Step 3: Cross multiply
    11,335x = 15,642.30 × 6,367
  4. Step 4: Simplify right side
    11,335x = 99,594,524.10
  5. Step 5: Solve for x
    x = 99,594,524.10/11,335
  6. Step 6: Final answer
    x = 8,786.46

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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.