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Finding the Fourth Proportional to 7,856.73, 11,783.88 and 5,102.93

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Solution

The fourth proportional to 7,856.73, 11,783.88 and 5,102.93 is: 7,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.73 : 11,783.88 = 5,102.93 : x
  2. Step 2: Convert to fraction form
    7,856.73/11,783.88 = 5,102.93/x
  3. Step 3: Cross multiply
    7,856.73x = 11,783.88 × 5,102.93
  4. Step 4: Simplify right side
    7,856.73x = 60,132,344.23
  5. Step 5: Solve for x
    x = 60,132,344.23/7,856.73
  6. Step 6: Final answer
    x = 7,653.61

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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.