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Finding the Fourth Proportional to 5,094.56, 7,642.01 and 1,396.78

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Solution

The fourth proportional to 5,094.56, 7,642.01 and 1,396.78 is: 2,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.56 : 7,642.01 = 1,396.78 : x
  2. Step 2: Convert to fraction form
    5,094.56/7,642.01 = 1,396.78/x
  3. Step 3: Cross multiply
    5,094.56x = 7,642.01 × 1,396.78
  4. Step 4: Simplify right side
    5,094.56x = 10,674,191.11
  5. Step 5: Solve for x
    x = 10,674,191.11/5,094.56
  6. Step 6: Final answer
    x = 2,095.21

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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.