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Finding the Fourth Proportional to 10,903.20, 15,041.80 and 6,709

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Solution

The fourth proportional to 10,903.20, 15,041.80 and 6,709 is: 9,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.20 : 15,041.80 = 6,709 : x
  2. Step 2: Convert to fraction form
    10,903.20/15,041.80 = 6,709/x
  3. Step 3: Cross multiply
    10,903.20x = 15,041.80 × 6,709
  4. Step 4: Simplify right side
    10,903.20x = 100,915,436.20
  5. Step 5: Solve for x
    x = 100,915,436.20/10,903.20
  6. Step 6: Final answer
    x = 9,255.58

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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.