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Finding the Fourth Proportional to 3,319.97, 4,980.62 and 980.01

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Solution

The fourth proportional to 3,319.97, 4,980.62 and 980.01 is: 1,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.97 : 4,980.62 = 980.01 : x
  2. Step 2: Convert to fraction form
    3,319.97/4,980.62 = 980.01/x
  3. Step 3: Cross multiply
    3,319.97x = 4,980.62 × 980.01
  4. Step 4: Simplify right side
    3,319.97x = 4,881,052.51
  5. Step 5: Solve for x
    x = 4,881,052.51/3,319.97
  6. Step 6: Final answer
    x = 1,470.21

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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.