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Finding the Fourth Proportional to 10,751.88, 16,109.64 and 5,207.88

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Solution

The fourth proportional to 10,751.88, 16,109.64 and 5,207.88 is: 7,803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.88 : 16,109.64 = 5,207.88 : x
  2. Step 2: Convert to fraction form
    10,751.88/16,109.64 = 5,207.88/x
  3. Step 3: Cross multiply
    10,751.88x = 16,109.64 × 5,207.88
  4. Step 4: Simplify right side
    10,751.88x = 83,897,071.96
  5. Step 5: Solve for x
    x = 83,897,071.96/10,751.88
  6. Step 6: Final answer
    x = 7,803.01

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Why These Related Problems?

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