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Finding the Fourth Proportional to 11,497.56, 15,866.12 and 7,028.80

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Solution

The fourth proportional to 11,497.56, 15,866.12 and 7,028.80 is: 9,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.56 : 15,866.12 = 7,028.80 : x
  2. Step 2: Convert to fraction form
    11,497.56/15,866.12 = 7,028.80/x
  3. Step 3: Cross multiply
    11,497.56x = 15,866.12 × 7,028.80
  4. Step 4: Simplify right side
    11,497.56x = 111,519,784.26
  5. Step 5: Solve for x
    x = 111,519,784.26/11,497.56
  6. Step 6: Final answer
    x = 9,699.43

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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.