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Finding the Fourth Proportional to 10,095, 15,142.64 and 3,169.50

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Solution

The fourth proportional to 10,095, 15,142.64 and 3,169.50 is: 4,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095 : 15,142.64 = 3,169.50 : x
  2. Step 2: Convert to fraction form
    10,095/15,142.64 = 3,169.50/x
  3. Step 3: Cross multiply
    10,095x = 15,142.64 × 3,169.50
  4. Step 4: Simplify right side
    10,095x = 47,994,581.63
  5. Step 5: Solve for x
    x = 47,994,581.63/10,095
  6. Step 6: Final answer
    x = 4,754.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.