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Finding the Fourth Proportional to 9,942.16, 13,720.08 and 5,404.80

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Solution

The fourth proportional to 9,942.16, 13,720.08 and 5,404.80 is: 7,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.16 : 13,720.08 = 5,404.80 : x
  2. Step 2: Convert to fraction form
    9,942.16/13,720.08 = 5,404.80/x
  3. Step 3: Cross multiply
    9,942.16x = 13,720.08 × 5,404.80
  4. Step 4: Simplify right side
    9,942.16x = 74,154,288.38
  5. Step 5: Solve for x
    x = 74,154,288.38/9,942.16
  6. Step 6: Final answer
    x = 7,458.57

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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.