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Finding the Fourth Proportional to 6,434.92, 9,647.52 and 5,135.68

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Solution

The fourth proportional to 6,434.92, 9,647.52 and 5,135.68 is: 7,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.92 : 9,647.52 = 5,135.68 : x
  2. Step 2: Convert to fraction form
    6,434.92/9,647.52 = 5,135.68/x
  3. Step 3: Cross multiply
    6,434.92x = 9,647.52 × 5,135.68
  4. Step 4: Simplify right side
    6,434.92x = 49,546,575.51
  5. Step 5: Solve for x
    x = 49,546,575.51/6,434.92
  6. Step 6: Final answer
    x = 7,699.64

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1.5x scale

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.