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Finding the Fourth Proportional to 15,576.82, 23,345.79 and 7,787.86

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Solution

The fourth proportional to 15,576.82, 23,345.79 and 7,787.86 is: 11,672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,576.82 : 23,345.79 = 7,787.86 : x
  2. Step 2: Convert to fraction form
    15,576.82/23,345.79 = 7,787.86/x
  3. Step 3: Cross multiply
    15,576.82x = 23,345.79 × 7,787.86
  4. Step 4: Simplify right side
    15,576.82x = 181,813,656.54
  5. Step 5: Solve for x
    x = 181,813,656.54/15,576.82
  6. Step 6: Final answer
    x = 11,672.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.