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Finding the Fourth Proportional to 11,143.80, 15,378.06 and 6,175.80

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Solution

The fourth proportional to 11,143.80, 15,378.06 and 6,175.80 is: 8,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.80 : 15,378.06 = 6,175.80 : x
  2. Step 2: Convert to fraction form
    11,143.80/15,378.06 = 6,175.80/x
  3. Step 3: Cross multiply
    11,143.80x = 15,378.06 × 6,175.80
  4. Step 4: Simplify right side
    11,143.80x = 94,971,822.95
  5. Step 5: Solve for x
    x = 94,971,822.95/11,143.80
  6. Step 6: Final answer
    x = 8,522.39

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1.5x scale

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.