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Finding the Fourth Proportional to 9,285.64, 12,817.25 and 8,301.49

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Solution

The fourth proportional to 9,285.64, 12,817.25 and 8,301.49 is: 11,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.64 : 12,817.25 = 8,301.49 : x
  2. Step 2: Convert to fraction form
    9,285.64/12,817.25 = 8,301.49/x
  3. Step 3: Cross multiply
    9,285.64x = 12,817.25 × 8,301.49
  4. Step 4: Simplify right side
    9,285.64x = 106,402,272.70
  5. Step 5: Solve for x
    x = 106,402,272.70/9,285.64
  6. Step 6: Final answer
    x = 11,458.80

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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.