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Finding the Fourth Proportional to 7,415.10, 10,174.38 and 7,345.44

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Solution

The fourth proportional to 7,415.10, 10,174.38 and 7,345.44 is: 10,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.10 : 10,174.38 = 7,345.44 : x
  2. Step 2: Convert to fraction form
    7,415.10/10,174.38 = 7,345.44/x
  3. Step 3: Cross multiply
    7,415.10x = 10,174.38 × 7,345.44
  4. Step 4: Simplify right side
    7,415.10x = 74,735,270.28
  5. Step 5: Solve for x
    x = 74,735,270.28/7,415.10
  6. Step 6: Final answer
    x = 10,078.79

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.