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Finding the Fourth Proportional to 10,500.39, 15,751.19 and 2,709

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Solution

The fourth proportional to 10,500.39, 15,751.19 and 2,709 is: 4,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.39 : 15,751.19 = 2,709 : x
  2. Step 2: Convert to fraction form
    10,500.39/15,751.19 = 2,709/x
  3. Step 3: Cross multiply
    10,500.39x = 15,751.19 × 2,709
  4. Step 4: Simplify right side
    10,500.39x = 42,669,980.48
  5. Step 5: Solve for x
    x = 42,669,980.48/10,500.39
  6. Step 6: Final answer
    x = 4,063.66

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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.