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Finding the Fourth Proportional to 10,628.64, 14,668.41 and 5,913.81

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Solution

The fourth proportional to 10,628.64, 14,668.41 and 5,913.81 is: 8,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.64 : 14,668.41 = 5,913.81 : x
  2. Step 2: Convert to fraction form
    10,628.64/14,668.41 = 5,913.81/x
  3. Step 3: Cross multiply
    10,628.64x = 14,668.41 × 5,913.81
  4. Step 4: Simplify right side
    10,628.64x = 86,746,189.74
  5. Step 5: Solve for x
    x = 86,746,189.74/10,628.64
  6. Step 6: Final answer
    x = 8,161.55

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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.