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Finding the Fourth Proportional to 4,806.64, 7,209.78 and 1,520.08

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Solution

The fourth proportional to 4,806.64, 7,209.78 and 1,520.08 is: 2,280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.64 : 7,209.78 = 1,520.08 : x
  2. Step 2: Convert to fraction form
    4,806.64/7,209.78 = 1,520.08/x
  3. Step 3: Cross multiply
    4,806.64x = 7,209.78 × 1,520.08
  4. Step 4: Simplify right side
    4,806.64x = 10,959,442.38
  5. Step 5: Solve for x
    x = 10,959,442.38/4,806.64
  6. Step 6: Final answer
    x = 2,280.06

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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.