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Finding the Fourth Proportional to 6,417.84, 9,624.80 and 2,720

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Solution

The fourth proportional to 6,417.84, 9,624.80 and 2,720 is: 4,079.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.84 : 9,624.80 = 2,720 : x
  2. Step 2: Convert to fraction form
    6,417.84/9,624.80 = 2,720/x
  3. Step 3: Cross multiply
    6,417.84x = 9,624.80 × 2,720
  4. Step 4: Simplify right side
    6,417.84x = 26,179,456.00
  5. Step 5: Solve for x
    x = 26,179,456.00/6,417.84
  6. Step 6: Final answer
    x = 4,079.17

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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.