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Finding the Fourth Proportional to 10,095, 13,931.10 and 5,679

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Solution

The fourth proportional to 10,095, 13,931.10 and 5,679 is: 7,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095 : 13,931.10 = 5,679 : x
  2. Step 2: Convert to fraction form
    10,095/13,931.10 = 5,679/x
  3. Step 3: Cross multiply
    10,095x = 13,931.10 × 5,679
  4. Step 4: Simplify right side
    10,095x = 79,114,716.90
  5. Step 5: Solve for x
    x = 79,114,716.90/10,095
  6. Step 6: Final answer
    x = 7,837.02

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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.