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Finding the Fourth Proportional to 15,857.60, 23,786.60 and 7,538.48

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Solution

The fourth proportional to 15,857.60, 23,786.60 and 7,538.48 is: 11,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.60 : 23,786.60 = 7,538.48 : x
  2. Step 2: Convert to fraction form
    15,857.60/23,786.60 = 7,538.48/x
  3. Step 3: Cross multiply
    15,857.60x = 23,786.60 × 7,538.48
  4. Step 4: Simplify right side
    15,857.60x = 179,314,808.37
  5. Step 5: Solve for x
    x = 179,314,808.37/15,857.60
  6. Step 6: Final answer
    x = 11,307.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.