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Finding the Fourth Proportional to 5,140.57, 7,094 and 2,782.71

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Solution

The fourth proportional to 5,140.57, 7,094 and 2,782.71 is: 3,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.57 : 7,094 = 2,782.71 : x
  2. Step 2: Convert to fraction form
    5,140.57/7,094 = 2,782.71/x
  3. Step 3: Cross multiply
    5,140.57x = 7,094 × 2,782.71
  4. Step 4: Simplify right side
    5,140.57x = 19,740,544.74
  5. Step 5: Solve for x
    x = 19,740,544.74/5,140.57
  6. Step 6: Final answer
    x = 3,840.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.