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Finding the Fourth Proportional to 9,310.16, 12,837.50 and 6,787.82

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Solution

The fourth proportional to 9,310.16, 12,837.50 and 6,787.82 is: 9,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.16 : 12,837.50 = 6,787.82 : x
  2. Step 2: Convert to fraction form
    9,310.16/12,837.50 = 6,787.82/x
  3. Step 3: Cross multiply
    9,310.16x = 12,837.50 × 6,787.82
  4. Step 4: Simplify right side
    9,310.16x = 87,138,639.25
  5. Step 5: Solve for x
    x = 87,138,639.25/9,310.16
  6. Step 6: Final answer
    x = 9,359.52

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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.