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Finding the Fourth Proportional to 11,153.16, 16,709.07 and 7,984.08

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Solution

The fourth proportional to 11,153.16, 16,709.07 and 7,984.08 is: 11,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.16 : 16,709.07 = 7,984.08 : x
  2. Step 2: Convert to fraction form
    11,153.16/16,709.07 = 7,984.08/x
  3. Step 3: Cross multiply
    11,153.16x = 16,709.07 × 7,984.08
  4. Step 4: Simplify right side
    11,153.16x = 133,406,551.61
  5. Step 5: Solve for x
    x = 133,406,551.61/11,153.16
  6. Step 6: Final answer
    x = 11,961.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.