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Finding the Fourth Proportional to 10,513.11, 14,509.11 and 7,855.90

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Solution

The fourth proportional to 10,513.11, 14,509.11 and 7,855.90 is: 10,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.11 : 14,509.11 = 7,855.90 : x
  2. Step 2: Convert to fraction form
    10,513.11/14,509.11 = 7,855.90/x
  3. Step 3: Cross multiply
    10,513.11x = 14,509.11 × 7,855.90
  4. Step 4: Simplify right side
    10,513.11x = 113,982,117.25
  5. Step 5: Solve for x
    x = 113,982,117.25/10,513.11
  6. Step 6: Final answer
    x = 10,841.90

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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.