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Finding the Fourth Proportional to 11,486.45, 15,839.64 and 10,816.76

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Solution

The fourth proportional to 11,486.45, 15,839.64 and 10,816.76 is: 14,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.45 : 15,839.64 = 10,816.76 : x
  2. Step 2: Convert to fraction form
    11,486.45/15,839.64 = 10,816.76/x
  3. Step 3: Cross multiply
    11,486.45x = 15,839.64 × 10,816.76
  4. Step 4: Simplify right side
    11,486.45x = 171,333,505.17
  5. Step 5: Solve for x
    x = 171,333,505.17/11,486.45
  6. Step 6: Final answer
    x = 14,916.15

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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.