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Finding the Fourth Proportional to 9,260.68, 12,785.70 and 8,264.25

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Solution

The fourth proportional to 9,260.68, 12,785.70 and 8,264.25 is: 11,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.68 : 12,785.70 = 8,264.25 : x
  2. Step 2: Convert to fraction form
    9,260.68/12,785.70 = 8,264.25/x
  3. Step 3: Cross multiply
    9,260.68x = 12,785.70 × 8,264.25
  4. Step 4: Simplify right side
    9,260.68x = 105,664,221.23
  5. Step 5: Solve for x
    x = 105,664,221.23/9,260.68
  6. Step 6: Final answer
    x = 11,409.99

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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.