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Finding the Fourth Proportional to 4,680.64, 7,020.24 and 1,560.70

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Solution

The fourth proportional to 4,680.64, 7,020.24 and 1,560.70 is: 2,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.64 : 7,020.24 = 1,560.70 : x
  2. Step 2: Convert to fraction form
    4,680.64/7,020.24 = 1,560.70/x
  3. Step 3: Cross multiply
    4,680.64x = 7,020.24 × 1,560.70
  4. Step 4: Simplify right side
    4,680.64x = 10,956,488.57
  5. Step 5: Solve for x
    x = 10,956,488.57/4,680.64
  6. Step 6: Final answer
    x = 2,340.81

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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.