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Finding the Fourth Proportional to 11,858.91, 16,368.71 and 7,828.68

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Solution

The fourth proportional to 11,858.91, 16,368.71 and 7,828.68 is: 10,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.91 : 16,368.71 = 7,828.68 : x
  2. Step 2: Convert to fraction form
    11,858.91/16,368.71 = 7,828.68/x
  3. Step 3: Cross multiply
    11,858.91x = 16,368.71 × 7,828.68
  4. Step 4: Simplify right side
    11,858.91x = 128,145,353.46
  5. Step 5: Solve for x
    x = 128,145,353.46/11,858.91
  6. Step 6: Final answer
    x = 10,805.83

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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.