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Finding the Fourth Proportional to 6,910.38, 9,538.38 and 6,557.64

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Solution

The fourth proportional to 6,910.38, 9,538.38 and 6,557.64 is: 9,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.38 : 9,538.38 = 6,557.64 : x
  2. Step 2: Convert to fraction form
    6,910.38/9,538.38 = 6,557.64/x
  3. Step 3: Cross multiply
    6,910.38x = 9,538.38 × 6,557.64
  4. Step 4: Simplify right side
    6,910.38x = 62,549,262.22
  5. Step 5: Solve for x
    x = 62,549,262.22/6,910.38
  6. Step 6: Final answer
    x = 9,051.49

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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.