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Finding the Fourth Proportional to 10,805.28, 14,901.36 and 6,819.48

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Solution

The fourth proportional to 10,805.28, 14,901.36 and 6,819.48 is: 9,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.28 : 14,901.36 = 6,819.48 : x
  2. Step 2: Convert to fraction form
    10,805.28/14,901.36 = 6,819.48/x
  3. Step 3: Cross multiply
    10,805.28x = 14,901.36 × 6,819.48
  4. Step 4: Simplify right side
    10,805.28x = 101,619,526.49
  5. Step 5: Solve for x
    x = 101,619,526.49/10,805.28
  6. Step 6: Final answer
    x = 9,404.62

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1.5x scale

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.