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Finding the Fourth Proportional to 13,718.67, 18,931.67 and 7,431

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Solution

The fourth proportional to 13,718.67, 18,931.67 and 7,431 is: 10,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.67 : 18,931.67 = 7,431 : x
  2. Step 2: Convert to fraction form
    13,718.67/18,931.67 = 7,431/x
  3. Step 3: Cross multiply
    13,718.67x = 18,931.67 × 7,431
  4. Step 4: Simplify right side
    13,718.67x = 140,681,202.62
  5. Step 5: Solve for x
    x = 140,681,202.62/13,718.67
  6. Step 6: Final answer
    x = 10,254.73

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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.