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Finding the Fourth Proportional to 6,677.92, 9,210.90 and 5,419

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Solution

The fourth proportional to 6,677.92, 9,210.90 and 5,419 is: 7,474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.92 : 9,210.90 = 5,419 : x
  2. Step 2: Convert to fraction form
    6,677.92/9,210.90 = 5,419/x
  3. Step 3: Cross multiply
    6,677.92x = 9,210.90 × 5,419
  4. Step 4: Simplify right side
    6,677.92x = 49,913,867.10
  5. Step 5: Solve for x
    x = 49,913,867.10/6,677.92
  6. Step 6: Final answer
    x = 7,474.46

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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.