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Finding the Fourth Proportional to 1,978.74, 2,968.14 and 518.10

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Solution

The fourth proportional to 1,978.74, 2,968.14 and 518.10 is: 777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.74 : 2,968.14 = 518.10 : x
  2. Step 2: Convert to fraction form
    1,978.74/2,968.14 = 518.10/x
  3. Step 3: Cross multiply
    1,978.74x = 2,968.14 × 518.10
  4. Step 4: Simplify right side
    1,978.74x = 1,537,793.33
  5. Step 5: Solve for x
    x = 1,537,793.33/1,978.74
  6. Step 6: Final answer
    x = 777.16

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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.