Home / 1,980.23-2,970.08-519.40

Finding the Fourth Proportional to 1,980.23, 2,970.08 and 519.40

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Solution

The fourth proportional to 1,980.23, 2,970.08 and 519.40 is: 779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.23 : 2,970.08 = 519.40 : x
  2. Step 2: Convert to fraction form
    1,980.23/2,970.08 = 519.40/x
  3. Step 3: Cross multiply
    1,980.23x = 2,970.08 × 519.40
  4. Step 4: Simplify right side
    1,980.23x = 1,542,642.10
  5. Step 5: Solve for x
    x = 1,542,642.10/1,980.23
  6. Step 6: Final answer
    x = 779.02

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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.