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Finding the Fourth Proportional to 10,455.49, 14,422.49 and 6,729.49

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Solution

The fourth proportional to 10,455.49, 14,422.49 and 6,729.49 is: 9,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.49 : 14,422.49 = 6,729.49 : x
  2. Step 2: Convert to fraction form
    10,455.49/14,422.49 = 6,729.49/x
  3. Step 3: Cross multiply
    10,455.49x = 14,422.49 × 6,729.49
  4. Step 4: Simplify right side
    10,455.49x = 97,055,968.58
  5. Step 5: Solve for x
    x = 97,055,968.58/10,455.49
  6. Step 6: Final answer
    x = 9,282.78

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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.