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Finding the Fourth Proportional to 13,888, 19,165.44 and 7,600.38

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Solution

The fourth proportional to 13,888, 19,165.44 and 7,600.38 is: 10,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,888 : 19,165.44 = 7,600.38 : x
  2. Step 2: Convert to fraction form
    13,888/19,165.44 = 7,600.38/x
  3. Step 3: Cross multiply
    13,888x = 19,165.44 × 7,600.38
  4. Step 4: Simplify right side
    13,888x = 145,664,626.87
  5. Step 5: Solve for x
    x = 145,664,626.87/13,888
  6. Step 6: Final answer
    x = 10,488.52

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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.