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Finding the Fourth Proportional to 11,616.58, 16,022.67 and 7,142.86

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Solution

The fourth proportional to 11,616.58, 16,022.67 and 7,142.86 is: 9,852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.58 : 16,022.67 = 7,142.86 : x
  2. Step 2: Convert to fraction form
    11,616.58/16,022.67 = 7,142.86/x
  3. Step 3: Cross multiply
    11,616.58x = 16,022.67 × 7,142.86
  4. Step 4: Simplify right side
    11,616.58x = 114,447,688.64
  5. Step 5: Solve for x
    x = 114,447,688.64/11,616.58
  6. Step 6: Final answer
    x = 9,852.10

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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.