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Finding the Fourth Proportional to 6,741.12, 10,128.12 and 6,368.10

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Solution

The fourth proportional to 6,741.12, 10,128.12 and 6,368.10 is: 9,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.12 : 10,128.12 = 6,368.10 : x
  2. Step 2: Convert to fraction form
    6,741.12/10,128.12 = 6,368.10/x
  3. Step 3: Cross multiply
    6,741.12x = 10,128.12 × 6,368.10
  4. Step 4: Simplify right side
    6,741.12x = 64,496,880.97
  5. Step 5: Solve for x
    x = 64,496,880.97/6,741.12
  6. Step 6: Final answer
    x = 9,567.68

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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.