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Finding the Fourth Proportional to 5,642.57, 8,460.68 and 3,865.63

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Solution

The fourth proportional to 5,642.57, 8,460.68 and 3,865.63 is: 5,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.57 : 8,460.68 = 3,865.63 : x
  2. Step 2: Convert to fraction form
    5,642.57/8,460.68 = 3,865.63/x
  3. Step 3: Cross multiply
    5,642.57x = 8,460.68 × 3,865.63
  4. Step 4: Simplify right side
    5,642.57x = 32,705,889.24
  5. Step 5: Solve for x
    x = 32,705,889.24/5,642.57
  6. Step 6: Final answer
    x = 5,796.28

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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.