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Finding the Fourth Proportional to 9,155.72, 13,741.78 and 6,384.38

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Solution

The fourth proportional to 9,155.72, 13,741.78 and 6,384.38 is: 9,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.72 : 13,741.78 = 6,384.38 : x
  2. Step 2: Convert to fraction form
    9,155.72/13,741.78 = 6,384.38/x
  3. Step 3: Cross multiply
    9,155.72x = 13,741.78 × 6,384.38
  4. Step 4: Simplify right side
    9,155.72x = 87,732,745.40
  5. Step 5: Solve for x
    x = 87,732,745.40/9,155.72
  6. Step 6: Final answer
    x = 9,582.29

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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.