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Finding the Fourth Proportional to 9,259.86, 12,784.58 and 8,263.44

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Solution

The fourth proportional to 9,259.86, 12,784.58 and 8,263.44 is: 11,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.86 : 12,784.58 = 8,263.44 : x
  2. Step 2: Convert to fraction form
    9,259.86/12,784.58 = 8,263.44/x
  3. Step 3: Cross multiply
    9,259.86x = 12,784.58 × 8,263.44
  4. Step 4: Simplify right side
    9,259.86x = 105,644,609.76
  5. Step 5: Solve for x
    x = 105,644,609.76/9,259.86
  6. Step 6: Final answer
    x = 11,408.88

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1.5x scale

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.