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Finding the Fourth Proportional to 11,308, 15,605.04 and 6,892

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Solution

The fourth proportional to 11,308, 15,605.04 and 6,892 is: 9,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308 : 15,605.04 = 6,892 : x
  2. Step 2: Convert to fraction form
    11,308/15,605.04 = 6,892/x
  3. Step 3: Cross multiply
    11,308x = 15,605.04 × 6,892
  4. Step 4: Simplify right side
    11,308x = 107,549,935.68
  5. Step 5: Solve for x
    x = 107,549,935.68/11,308
  6. Step 6: Final answer
    x = 9,510.96

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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.