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Finding the Fourth Proportional to 3,319.83, 4,980.20 and 980.00

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Solution

The fourth proportional to 3,319.83, 4,980.20 and 980.00 is: 1,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.83 : 4,980.20 = 980.00 : x
  2. Step 2: Convert to fraction form
    3,319.83/4,980.20 = 980.00/x
  3. Step 3: Cross multiply
    3,319.83x = 4,980.20 × 980.00
  4. Step 4: Simplify right side
    3,319.83x = 4,880,603.55
  5. Step 5: Solve for x
    x = 4,880,603.55/3,319.83
  6. Step 6: Final answer
    x = 1,470.14

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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.