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Finding the Fourth Proportional to 9,281.10, 12,809.43 and 6,906.86

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Solution

The fourth proportional to 9,281.10, 12,809.43 and 6,906.86 is: 9,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.10 : 12,809.43 = 6,906.86 : x
  2. Step 2: Convert to fraction form
    9,281.10/12,809.43 = 6,906.86/x
  3. Step 3: Cross multiply
    9,281.10x = 12,809.43 × 6,906.86
  4. Step 4: Simplify right side
    9,281.10x = 88,472,875.64
  5. Step 5: Solve for x
    x = 88,472,875.64/9,281.10
  6. Step 6: Final answer
    x = 9,532.59

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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.