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Finding the Fourth Proportional to 2,762.78, 3,812.98 and 1,715

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Solution

The fourth proportional to 2,762.78, 3,812.98 and 1,715 is: 2,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.78 : 3,812.98 = 1,715 : x
  2. Step 2: Convert to fraction form
    2,762.78/3,812.98 = 1,715/x
  3. Step 3: Cross multiply
    2,762.78x = 3,812.98 × 1,715
  4. Step 4: Simplify right side
    2,762.78x = 6,539,260.70
  5. Step 5: Solve for x
    x = 6,539,260.70/2,762.78
  6. Step 6: Final answer
    x = 2,366.91

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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.