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Finding the Fourth Proportional to 10,856.77, 14,984.06 and 6,381.61

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Solution

The fourth proportional to 10,856.77, 14,984.06 and 6,381.61 is: 8,807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.77 : 14,984.06 = 6,381.61 : x
  2. Step 2: Convert to fraction form
    10,856.77/14,984.06 = 6,381.61/x
  3. Step 3: Cross multiply
    10,856.77x = 14,984.06 × 6,381.61
  4. Step 4: Simplify right side
    10,856.77x = 95,622,357.77
  5. Step 5: Solve for x
    x = 95,622,357.77/10,856.77
  6. Step 6: Final answer
    x = 8,807.63

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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.