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Finding the Fourth Proportional to 6,384.86, 8,815.47 and 4,890.14

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Solution

The fourth proportional to 6,384.86, 8,815.47 and 4,890.14 is: 6,751.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.86 : 8,815.47 = 4,890.14 : x
  2. Step 2: Convert to fraction form
    6,384.86/8,815.47 = 4,890.14/x
  3. Step 3: Cross multiply
    6,384.86x = 8,815.47 × 4,890.14
  4. Step 4: Simplify right side
    6,384.86x = 43,108,882.47
  5. Step 5: Solve for x
    x = 43,108,882.47/6,384.86
  6. Step 6: Final answer
    x = 6,751.73

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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.