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Finding the Fourth Proportional to 11,346.51, 15,655.88 and 6,629.88

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Solution

The fourth proportional to 11,346.51, 15,655.88 and 6,629.88 is: 9,147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.51 : 15,655.88 = 6,629.88 : x
  2. Step 2: Convert to fraction form
    11,346.51/15,655.88 = 6,629.88/x
  3. Step 3: Cross multiply
    11,346.51x = 15,655.88 × 6,629.88
  4. Step 4: Simplify right side
    11,346.51x = 103,796,605.69
  5. Step 5: Solve for x
    x = 103,796,605.69/11,346.51
  6. Step 6: Final answer
    x = 9,147.89

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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.