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Finding the Fourth Proportional to 4,680, 7,020.74 and 2,340.18

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Solution

The fourth proportional to 4,680, 7,020.74 and 2,340.18 is: 3,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680 : 7,020.74 = 2,340.18 : x
  2. Step 2: Convert to fraction form
    4,680/7,020.74 = 2,340.18/x
  3. Step 3: Cross multiply
    4,680x = 7,020.74 × 2,340.18
  4. Step 4: Simplify right side
    4,680x = 16,429,795.33
  5. Step 5: Solve for x
    x = 16,429,795.33/4,680
  6. Step 6: Final answer
    x = 3,510.64

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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.