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Finding the Fourth Proportional to 8,346.77, 12,502.15 and 7,856.06

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Solution

The fourth proportional to 8,346.77, 12,502.15 and 7,856.06 is: 11,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.77 : 12,502.15 = 7,856.06 : x
  2. Step 2: Convert to fraction form
    8,346.77/12,502.15 = 7,856.06/x
  3. Step 3: Cross multiply
    8,346.77x = 12,502.15 × 7,856.06
  4. Step 4: Simplify right side
    8,346.77x = 98,217,640.53
  5. Step 5: Solve for x
    x = 98,217,640.53/8,346.77
  6. Step 6: Final answer
    x = 11,767.15

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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.