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Finding the Fourth Proportional to 10,802, 14,908.38 and 6,612.68

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Solution

The fourth proportional to 10,802, 14,908.38 and 6,612.68 is: 9,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802 : 14,908.38 = 6,612.68 : x
  2. Step 2: Convert to fraction form
    10,802/14,908.38 = 6,612.68/x
  3. Step 3: Cross multiply
    10,802x = 14,908.38 × 6,612.68
  4. Step 4: Simplify right side
    10,802x = 98,584,346.26
  5. Step 5: Solve for x
    x = 98,584,346.26/10,802
  6. Step 6: Final answer
    x = 9,126.49

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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.