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Finding the Fourth Proportional to 9,170.94, 13,775.37 and 7,417.90

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Solution

The fourth proportional to 9,170.94, 13,775.37 and 7,417.90 is: 11,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.94 : 13,775.37 = 7,417.90 : x
  2. Step 2: Convert to fraction form
    9,170.94/13,775.37 = 7,417.90/x
  3. Step 3: Cross multiply
    9,170.94x = 13,775.37 × 7,417.90
  4. Step 4: Simplify right side
    9,170.94x = 102,184,317.12
  5. Step 5: Solve for x
    x = 102,184,317.12/9,170.94
  6. Step 6: Final answer
    x = 11,142.19

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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.