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Finding the Fourth Proportional to 7,058.08, 9,740.86 and 3,914.86

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Solution

The fourth proportional to 7,058.08, 9,740.86 and 3,914.86 is: 5,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.08 : 9,740.86 = 3,914.86 : x
  2. Step 2: Convert to fraction form
    7,058.08/9,740.86 = 3,914.86/x
  3. Step 3: Cross multiply
    7,058.08x = 9,740.86 × 3,914.86
  4. Step 4: Simplify right side
    7,058.08x = 38,134,103.18
  5. Step 5: Solve for x
    x = 38,134,103.18/7,058.08
  6. Step 6: Final answer
    x = 5,402.90

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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.