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Finding the Fourth Proportional to 1,980.91, 2,973.93 and 1,694.17

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Solution

The fourth proportional to 1,980.91, 2,973.93 and 1,694.17 is: 2,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.91 : 2,973.93 = 1,694.17 : x
  2. Step 2: Convert to fraction form
    1,980.91/2,973.93 = 1,694.17/x
  3. Step 3: Cross multiply
    1,980.91x = 2,973.93 × 1,694.17
  4. Step 4: Simplify right side
    1,980.91x = 5,038,342.99
  5. Step 5: Solve for x
    x = 5,038,342.99/1,980.91
  6. Step 6: Final answer
    x = 2,543.45

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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.