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Finding the Fourth Proportional to 6,128.32, 9,191.10 and 1,745.68

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Solution

The fourth proportional to 6,128.32, 9,191.10 and 1,745.68 is: 2,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.32 : 9,191.10 = 1,745.68 : x
  2. Step 2: Convert to fraction form
    6,128.32/9,191.10 = 1,745.68/x
  3. Step 3: Cross multiply
    6,128.32x = 9,191.10 × 1,745.68
  4. Step 4: Simplify right side
    6,128.32x = 16,044,719.45
  5. Step 5: Solve for x
    x = 16,044,719.45/6,128.32
  6. Step 6: Final answer
    x = 2,618.13

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1.5x scale

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.