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Finding the Fourth Proportional to 3,711, 5,564.78 and 1,370.42

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Solution

The fourth proportional to 3,711, 5,564.78 and 1,370.42 is: 2,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711 : 5,564.78 = 1,370.42 : x
  2. Step 2: Convert to fraction form
    3,711/5,564.78 = 1,370.42/x
  3. Step 3: Cross multiply
    3,711x = 5,564.78 × 1,370.42
  4. Step 4: Simplify right side
    3,711x = 7,626,085.81
  5. Step 5: Solve for x
    x = 7,626,085.81/3,711
  6. Step 6: Final answer
    x = 2,054.99

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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.