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Finding the Fourth Proportional to 10,869.24, 16,292.10 and 5,326.32

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Solution

The fourth proportional to 10,869.24, 16,292.10 and 5,326.32 is: 7,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.24 : 16,292.10 = 5,326.32 : x
  2. Step 2: Convert to fraction form
    10,869.24/16,292.10 = 5,326.32/x
  3. Step 3: Cross multiply
    10,869.24x = 16,292.10 × 5,326.32
  4. Step 4: Simplify right side
    10,869.24x = 86,776,938.07
  5. Step 5: Solve for x
    x = 86,776,938.07/10,869.24
  6. Step 6: Final answer
    x = 7,983.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.