Home / 13,938-19,233.96-7,564.32

Finding the Fourth Proportional to 13,938, 19,233.96 and 7,564.32

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Solution

The fourth proportional to 13,938, 19,233.96 and 7,564.32 is: 10,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938 : 19,233.96 = 7,564.32 : x
  2. Step 2: Convert to fraction form
    13,938/19,233.96 = 7,564.32/x
  3. Step 3: Cross multiply
    13,938x = 19,233.96 × 7,564.32
  4. Step 4: Simplify right side
    13,938x = 145,491,828.31
  5. Step 5: Solve for x
    x = 145,491,828.31/13,938
  6. Step 6: Final answer
    x = 10,438.50

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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.