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Finding the Fourth Proportional to 5,189.93, 7,783.85 and 1,491.17

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Solution

The fourth proportional to 5,189.93, 7,783.85 and 1,491.17 is: 2,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.93 : 7,783.85 = 1,491.17 : x
  2. Step 2: Convert to fraction form
    5,189.93/7,783.85 = 1,491.17/x
  3. Step 3: Cross multiply
    5,189.93x = 7,783.85 × 1,491.17
  4. Step 4: Simplify right side
    5,189.93x = 11,606,997.23
  5. Step 5: Solve for x
    x = 11,606,997.23/5,189.93
  6. Step 6: Final answer
    x = 2,236.45

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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.