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Finding the Fourth Proportional to 4,612.80, 6,913.80 and 1,980.30

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Solution

The fourth proportional to 4,612.80, 6,913.80 and 1,980.30 is: 2,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.80 : 6,913.80 = 1,980.30 : x
  2. Step 2: Convert to fraction form
    4,612.80/6,913.80 = 1,980.30/x
  3. Step 3: Cross multiply
    4,612.80x = 6,913.80 × 1,980.30
  4. Step 4: Simplify right side
    4,612.80x = 13,691,398.14
  5. Step 5: Solve for x
    x = 13,691,398.14/4,612.80
  6. Step 6: Final answer
    x = 2,968.13

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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.