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Finding the Fourth Proportional to 4,491.24, 6,734.70 and 1,678.14

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Solution

The fourth proportional to 4,491.24, 6,734.70 and 1,678.14 is: 2,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.24 : 6,734.70 = 1,678.14 : x
  2. Step 2: Convert to fraction form
    4,491.24/6,734.70 = 1,678.14/x
  3. Step 3: Cross multiply
    4,491.24x = 6,734.70 × 1,678.14
  4. Step 4: Simplify right side
    4,491.24x = 11,301,769.46
  5. Step 5: Solve for x
    x = 11,301,769.46/4,491.24
  6. Step 6: Final answer
    x = 2,516.40

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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.