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Finding the Fourth Proportional to 11,496, 15,866.40 and 6,781.44

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Solution

The fourth proportional to 11,496, 15,866.40 and 6,781.44 is: 9,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496 : 15,866.40 = 6,781.44 : x
  2. Step 2: Convert to fraction form
    11,496/15,866.40 = 6,781.44/x
  3. Step 3: Cross multiply
    11,496x = 15,866.40 × 6,781.44
  4. Step 4: Simplify right side
    11,496x = 107,597,039.62
  5. Step 5: Solve for x
    x = 107,597,039.62/11,496
  6. Step 6: Final answer
    x = 9,359.52

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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.