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Finding the Fourth Proportional to 1,980.84, 2,973.99 and 1,007.61

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Solution

The fourth proportional to 1,980.84, 2,973.99 and 1,007.61 is: 1,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.84 : 2,973.99 = 1,007.61 : x
  2. Step 2: Convert to fraction form
    1,980.84/2,973.99 = 1,007.61/x
  3. Step 3: Cross multiply
    1,980.84x = 2,973.99 × 1,007.61
  4. Step 4: Simplify right side
    1,980.84x = 2,996,622.06
  5. Step 5: Solve for x
    x = 2,996,622.06/1,980.84
  6. Step 6: Final answer
    x = 1,512.80

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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.