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Finding the Fourth Proportional to 4,806.30, 7,208.10 and 1,520.40

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Solution

The fourth proportional to 4,806.30, 7,208.10 and 1,520.40 is: 2,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.30 : 7,208.10 = 1,520.40 : x
  2. Step 2: Convert to fraction form
    4,806.30/7,208.10 = 1,520.40/x
  3. Step 3: Cross multiply
    4,806.30x = 7,208.10 × 1,520.40
  4. Step 4: Simplify right side
    4,806.30x = 10,959,195.24
  5. Step 5: Solve for x
    x = 10,959,195.24/4,806.30
  6. Step 6: Final answer
    x = 2,280.17

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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.