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Finding the Fourth Proportional to 10,650.56, 14,684.48 and 8,287.68

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Solution

The fourth proportional to 10,650.56, 14,684.48 and 8,287.68 is: 11,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.56 : 14,684.48 = 8,287.68 : x
  2. Step 2: Convert to fraction form
    10,650.56/14,684.48 = 8,287.68/x
  3. Step 3: Cross multiply
    10,650.56x = 14,684.48 × 8,287.68
  4. Step 4: Simplify right side
    10,650.56x = 121,700,271.21
  5. Step 5: Solve for x
    x = 121,700,271.21/10,650.56
  6. Step 6: Final answer
    x = 11,426.65

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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.