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Finding the Fourth Proportional to 5,068.74, 6,993.80 and 3,078.20

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Solution

The fourth proportional to 5,068.74, 6,993.80 and 3,078.20 is: 4,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.74 : 6,993.80 = 3,078.20 : x
  2. Step 2: Convert to fraction form
    5,068.74/6,993.80 = 3,078.20/x
  3. Step 3: Cross multiply
    5,068.74x = 6,993.80 × 3,078.20
  4. Step 4: Simplify right side
    5,068.74x = 21,528,315.16
  5. Step 5: Solve for x
    x = 21,528,315.16/5,068.74
  6. Step 6: Final answer
    x = 4,247.27

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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.