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Finding the Fourth Proportional to 9,867.90, 14,805.30 and 6,165.78

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Solution

The fourth proportional to 9,867.90, 14,805.30 and 6,165.78 is: 9,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.90 : 14,805.30 = 6,165.78 : x
  2. Step 2: Convert to fraction form
    9,867.90/14,805.30 = 6,165.78/x
  3. Step 3: Cross multiply
    9,867.90x = 14,805.30 × 6,165.78
  4. Step 4: Simplify right side
    9,867.90x = 91,286,222.63
  5. Step 5: Solve for x
    x = 91,286,222.63/9,867.90
  6. Step 6: Final answer
    x = 9,250.83

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1.5x scale

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.