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Finding the Fourth Proportional to 12,501.75, 18,743.37 and 7,570.23

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Solution

The fourth proportional to 12,501.75, 18,743.37 and 7,570.23 is: 11,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,501.75 : 18,743.37 = 7,570.23 : x
  2. Step 2: Convert to fraction form
    12,501.75/18,743.37 = 7,570.23/x
  3. Step 3: Cross multiply
    12,501.75x = 18,743.37 × 7,570.23
  4. Step 4: Simplify right side
    12,501.75x = 141,891,621.88
  5. Step 5: Solve for x
    x = 141,891,621.88/12,501.75
  6. Step 6: Final answer
    x = 11,349.74

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