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Finding the Fourth Proportional to 7,856.64, 10,843.22 and 5,070.24

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Solution

The fourth proportional to 7,856.64, 10,843.22 and 5,070.24 is: 6,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.64 : 10,843.22 = 5,070.24 : x
  2. Step 2: Convert to fraction form
    7,856.64/10,843.22 = 5,070.24/x
  3. Step 3: Cross multiply
    7,856.64x = 10,843.22 × 5,070.24
  4. Step 4: Simplify right side
    7,856.64x = 54,977,727.77
  5. Step 5: Solve for x
    x = 54,977,727.77/7,856.64
  6. Step 6: Final answer
    x = 6,997.61

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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.