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Finding the Fourth Proportional to 2,980.64, 4,470.09 and 1,130.42

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Solution

The fourth proportional to 2,980.64, 4,470.09 and 1,130.42 is: 1,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.64 : 4,470.09 = 1,130.42 : x
  2. Step 2: Convert to fraction form
    2,980.64/4,470.09 = 1,130.42/x
  3. Step 3: Cross multiply
    2,980.64x = 4,470.09 × 1,130.42
  4. Step 4: Simplify right side
    2,980.64x = 5,053,079.14
  5. Step 5: Solve for x
    x = 5,053,079.14/2,980.64
  6. Step 6: Final answer
    x = 1,695.30

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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.