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Finding the Fourth Proportional to 10,926, 15,072.48 and 6,890.99

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Solution

The fourth proportional to 10,926, 15,072.48 and 6,890.99 is: 9,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,926 : 15,072.48 = 6,890.99 : x
  2. Step 2: Convert to fraction form
    10,926/15,072.48 = 6,890.99/x
  3. Step 3: Cross multiply
    10,926x = 15,072.48 × 6,890.99
  4. Step 4: Simplify right side
    10,926x = 103,864,233.59
  5. Step 5: Solve for x
    x = 103,864,233.59/10,926
  6. Step 6: Final answer
    x = 9,506.15

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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.