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Finding the Fourth Proportional to 5,097.78, 7,643.67 and 1,586.84

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Solution

The fourth proportional to 5,097.78, 7,643.67 and 1,586.84 is: 2,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.78 : 7,643.67 = 1,586.84 : x
  2. Step 2: Convert to fraction form
    5,097.78/7,643.67 = 1,586.84/x
  3. Step 3: Cross multiply
    5,097.78x = 7,643.67 × 1,586.84
  4. Step 4: Simplify right side
    5,097.78x = 12,129,243.08
  5. Step 5: Solve for x
    x = 12,129,243.08/5,097.78
  6. Step 6: Final answer
    x = 2,379.32

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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.