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Finding the Fourth Proportional to 4,578.90, 6,866.72 and 1,980.42

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Solution

The fourth proportional to 4,578.90, 6,866.72 and 1,980.42 is: 2,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.90 : 6,866.72 = 1,980.42 : x
  2. Step 2: Convert to fraction form
    4,578.90/6,866.72 = 1,980.42/x
  3. Step 3: Cross multiply
    4,578.90x = 6,866.72 × 1,980.42
  4. Step 4: Simplify right side
    4,578.90x = 13,598,989.62
  5. Step 5: Solve for x
    x = 13,598,989.62/4,578.90
  6. Step 6: Final answer
    x = 2,969.93

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1.5x scale

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.