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Finding the Fourth Proportional to 4,969.98, 6,858.54 and 2,980.62

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Solution

The fourth proportional to 4,969.98, 6,858.54 and 2,980.62 is: 4,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.98 : 6,858.54 = 2,980.62 : x
  2. Step 2: Convert to fraction form
    4,969.98/6,858.54 = 2,980.62/x
  3. Step 3: Cross multiply
    4,969.98x = 6,858.54 × 2,980.62
  4. Step 4: Simplify right side
    4,969.98x = 20,442,701.49
  5. Step 5: Solve for x
    x = 20,442,701.49/4,969.98
  6. Step 6: Final answer
    x = 4,113.24

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1.5x scale

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.