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Finding the Fourth Proportional to 5,628.64, 7,764.46 and 3,389.16

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Solution

The fourth proportional to 5,628.64, 7,764.46 and 3,389.16 is: 4,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.64 : 7,764.46 = 3,389.16 : x
  2. Step 2: Convert to fraction form
    5,628.64/7,764.46 = 3,389.16/x
  3. Step 3: Cross multiply
    5,628.64x = 7,764.46 × 3,389.16
  4. Step 4: Simplify right side
    5,628.64x = 26,314,997.25
  5. Step 5: Solve for x
    x = 26,314,997.25/5,628.64
  6. Step 6: Final answer
    x = 4,675.20

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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.