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Finding the Fourth Proportional to 1,980.99, 2,968.64 and 1,007.77

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Solution

The fourth proportional to 1,980.99, 2,968.64 and 1,007.77 is: 1,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.99 : 2,968.64 = 1,007.77 : x
  2. Step 2: Convert to fraction form
    1,980.99/2,968.64 = 1,007.77/x
  3. Step 3: Cross multiply
    1,980.99x = 2,968.64 × 1,007.77
  4. Step 4: Simplify right side
    1,980.99x = 2,991,706.33
  5. Step 5: Solve for x
    x = 2,991,706.33/1,980.99
  6. Step 6: Final answer
    x = 1,510.21

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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.