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Finding the Fourth Proportional to 13,942, 19,240 and 7,568.58

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Solution

The fourth proportional to 13,942, 19,240 and 7,568.58 is: 10,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942 : 19,240 = 7,568.58 : x
  2. Step 2: Convert to fraction form
    13,942/19,240 = 7,568.58/x
  3. Step 3: Cross multiply
    13,942x = 19,240 × 7,568.58
  4. Step 4: Simplify right side
    13,942x = 145,619,479.20
  5. Step 5: Solve for x
    x = 145,619,479.20/13,942
  6. Step 6: Final answer
    x = 10,444.66

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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.