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Finding the Fourth Proportional to 1,978.98, 2,968.54 and 518.08

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Solution

The fourth proportional to 1,978.98, 2,968.54 and 518.08 is: 777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.98 : 2,968.54 = 518.08 : x
  2. Step 2: Convert to fraction form
    1,978.98/2,968.54 = 518.08/x
  3. Step 3: Cross multiply
    1,978.98x = 2,968.54 × 518.08
  4. Step 4: Simplify right side
    1,978.98x = 1,537,941.20
  5. Step 5: Solve for x
    x = 1,537,941.20/1,978.98
  6. Step 6: Final answer
    x = 777.14

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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.