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Finding the Fourth Proportional to 4,647.86, 6,965.46 and 2,564.76

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Solution

The fourth proportional to 4,647.86, 6,965.46 and 2,564.76 is: 3,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.86 : 6,965.46 = 2,564.76 : x
  2. Step 2: Convert to fraction form
    4,647.86/6,965.46 = 2,564.76/x
  3. Step 3: Cross multiply
    4,647.86x = 6,965.46 × 2,564.76
  4. Step 4: Simplify right side
    4,647.86x = 17,864,733.19
  5. Step 5: Solve for x
    x = 17,864,733.19/4,647.86
  6. Step 6: Final answer
    x = 3,843.65

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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.