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Finding the Fourth Proportional to 11,858.13, 16,364.84 and 6,822.36

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Solution

The fourth proportional to 11,858.13, 16,364.84 and 6,822.36 is: 9,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.13 : 16,364.84 = 6,822.36 : x
  2. Step 2: Convert to fraction form
    11,858.13/16,364.84 = 6,822.36/x
  3. Step 3: Cross multiply
    11,858.13x = 16,364.84 × 6,822.36
  4. Step 4: Simplify right side
    11,858.13x = 111,646,795.71
  5. Step 5: Solve for x
    x = 111,646,795.71/11,858.13
  6. Step 6: Final answer
    x = 9,415.21

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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.