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Finding the Fourth Proportional to 1,980.03, 2,970.01 and 681.47

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Solution

The fourth proportional to 1,980.03, 2,970.01 and 681.47 is: 1,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.03 : 2,970.01 = 681.47 : x
  2. Step 2: Convert to fraction form
    1,980.03/2,970.01 = 681.47/x
  3. Step 3: Cross multiply
    1,980.03x = 2,970.01 × 681.47
  4. Step 4: Simplify right side
    1,980.03x = 2,023,972.71
  5. Step 5: Solve for x
    x = 2,023,972.71/1,980.03
  6. Step 6: Final answer
    x = 1,022.19

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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.