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Finding the Fourth Proportional to 11,797.66, 16,280.47 and 6,419.87

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Solution

The fourth proportional to 11,797.66, 16,280.47 and 6,419.87 is: 8,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.66 : 16,280.47 = 6,419.87 : x
  2. Step 2: Convert to fraction form
    11,797.66/16,280.47 = 6,419.87/x
  3. Step 3: Cross multiply
    11,797.66x = 16,280.47 × 6,419.87
  4. Step 4: Simplify right side
    11,797.66x = 104,518,500.94
  5. Step 5: Solve for x
    x = 104,518,500.94/11,797.66
  6. Step 6: Final answer
    x = 8,859.26

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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.