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Finding the Fourth Proportional to 2,980, 4,470.06 and 1,248.64

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Solution

The fourth proportional to 2,980, 4,470.06 and 1,248.64 is: 1,872.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980 : 4,470.06 = 1,248.64 : x
  2. Step 2: Convert to fraction form
    2,980/4,470.06 = 1,248.64/x
  3. Step 3: Cross multiply
    2,980x = 4,470.06 × 1,248.64
  4. Step 4: Simplify right side
    2,980x = 5,581,495.72
  5. Step 5: Solve for x
    x = 5,581,495.72/2,980
  6. Step 6: Final answer
    x = 1,872.99

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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.