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Finding the Fourth Proportional to 11,878.07, 16,384.57 and 7,844.92

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Solution

The fourth proportional to 11,878.07, 16,384.57 and 7,844.92 is: 10,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.07 : 16,384.57 = 7,844.92 : x
  2. Step 2: Convert to fraction form
    11,878.07/16,384.57 = 7,844.92/x
  3. Step 3: Cross multiply
    11,878.07x = 16,384.57 × 7,844.92
  4. Step 4: Simplify right side
    11,878.07x = 128,535,580.31
  5. Step 5: Solve for x
    x = 128,535,580.31/11,878.07
  6. Step 6: Final answer
    x = 10,821.26

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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.