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Finding the Fourth Proportional to 7,820.78, 10,792.56 and 4,284

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Solution

The fourth proportional to 7,820.78, 10,792.56 and 4,284 is: 5,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.78 : 10,792.56 = 4,284 : x
  2. Step 2: Convert to fraction form
    7,820.78/10,792.56 = 4,284/x
  3. Step 3: Cross multiply
    7,820.78x = 10,792.56 × 4,284
  4. Step 4: Simplify right side
    7,820.78x = 46,235,327.04
  5. Step 5: Solve for x
    x = 46,235,327.04/7,820.78
  6. Step 6: Final answer
    x = 5,911.86

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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.