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Finding the Fourth Proportional to 11,093.84, 15,306.12 and 7,776.08

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Solution

The fourth proportional to 11,093.84, 15,306.12 and 7,776.08 is: 10,728.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.84 : 15,306.12 = 7,776.08 : x
  2. Step 2: Convert to fraction form
    11,093.84/15,306.12 = 7,776.08/x
  3. Step 3: Cross multiply
    11,093.84x = 15,306.12 × 7,776.08
  4. Step 4: Simplify right side
    11,093.84x = 119,021,613.61
  5. Step 5: Solve for x
    x = 119,021,613.61/11,093.84
  6. Step 6: Final answer
    x = 10,728.62

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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.