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Finding the Fourth Proportional to 9,856.71, 13,600.22 and 5,664.15

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Solution

The fourth proportional to 9,856.71, 13,600.22 and 5,664.15 is: 7,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.71 : 13,600.22 = 5,664.15 : x
  2. Step 2: Convert to fraction form
    9,856.71/13,600.22 = 5,664.15/x
  3. Step 3: Cross multiply
    9,856.71x = 13,600.22 × 5,664.15
  4. Step 4: Simplify right side
    9,856.71x = 77,033,632.27
  5. Step 5: Solve for x
    x = 77,033,632.27/9,856.71
  6. Step 6: Final answer
    x = 7,815.35

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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.