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Finding the Fourth Proportional to 11,375.75, 15,688.72 and 7,395.41

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Solution

The fourth proportional to 11,375.75, 15,688.72 and 7,395.41 is: 10,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.75 : 15,688.72 = 7,395.41 : x
  2. Step 2: Convert to fraction form
    11,375.75/15,688.72 = 7,395.41/x
  3. Step 3: Cross multiply
    11,375.75x = 15,688.72 × 7,395.41
  4. Step 4: Simplify right side
    11,375.75x = 116,024,565.24
  5. Step 5: Solve for x
    x = 116,024,565.24/11,375.75
  6. Step 6: Final answer
    x = 10,199.29

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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.