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Finding the Fourth Proportional to 11,216.71, 15,478.77 and 6,500.71

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Solution

The fourth proportional to 11,216.71, 15,478.77 and 6,500.71 is: 8,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.71 : 15,478.77 = 6,500.71 : x
  2. Step 2: Convert to fraction form
    11,216.71/15,478.77 = 6,500.71/x
  3. Step 3: Cross multiply
    11,216.71x = 15,478.77 × 6,500.71
  4. Step 4: Simplify right side
    11,216.71x = 100,622,994.93
  5. Step 5: Solve for x
    x = 100,622,994.93/11,216.71
  6. Step 6: Final answer
    x = 8,970.81

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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.