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Finding the Fourth Proportional to 4,968, 6,855.57 and 2,978.19

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Solution

The fourth proportional to 4,968, 6,855.57 and 2,978.19 is: 4,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968 : 6,855.57 = 2,978.19 : x
  2. Step 2: Convert to fraction form
    4,968/6,855.57 = 2,978.19/x
  3. Step 3: Cross multiply
    4,968x = 6,855.57 × 2,978.19
  4. Step 4: Simplify right side
    4,968x = 20,417,190.02
  5. Step 5: Solve for x
    x = 20,417,190.02/4,968
  6. Step 6: Final answer
    x = 4,109.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.