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Finding the Fourth Proportional to 6,678.70, 9,214.95 and 4,318

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Solution

The fourth proportional to 6,678.70, 9,214.95 and 4,318 is: 5,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.70 : 9,214.95 = 4,318 : x
  2. Step 2: Convert to fraction form
    6,678.70/9,214.95 = 4,318/x
  3. Step 3: Cross multiply
    6,678.70x = 9,214.95 × 4,318
  4. Step 4: Simplify right side
    6,678.70x = 39,790,154.10
  5. Step 5: Solve for x
    x = 39,790,154.10/6,678.70
  6. Step 6: Final answer
    x = 5,957.77

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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.