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Finding the Fourth Proportional to 2,980, 4,473.42 and 1,748.30

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Solution

The fourth proportional to 2,980, 4,473.42 and 1,748.30 is: 2,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980 : 4,473.42 = 1,748.30 : x
  2. Step 2: Convert to fraction form
    2,980/4,473.42 = 1,748.30/x
  3. Step 3: Cross multiply
    2,980x = 4,473.42 × 1,748.30
  4. Step 4: Simplify right side
    2,980x = 7,820,880.19
  5. Step 5: Solve for x
    x = 7,820,880.19/2,980
  6. Step 6: Final answer
    x = 2,624.46

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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.