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Finding the Fourth Proportional to 10,384, 14,330.10 and 5,668.40

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Solution

The fourth proportional to 10,384, 14,330.10 and 5,668.40 is: 7,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384 : 14,330.10 = 5,668.40 : x
  2. Step 2: Convert to fraction form
    10,384/14,330.10 = 5,668.40/x
  3. Step 3: Cross multiply
    10,384x = 14,330.10 × 5,668.40
  4. Step 4: Simplify right side
    10,384x = 81,228,738.84
  5. Step 5: Solve for x
    x = 81,228,738.84/10,384
  6. Step 6: Final answer
    x = 7,822.49

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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.