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Finding the Fourth Proportional to 7,820.79, 10,792.95 and 4,284

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Solution

The fourth proportional to 7,820.79, 10,792.95 and 4,284 is: 5,912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.79 : 10,792.95 = 4,284 : x
  2. Step 2: Convert to fraction form
    7,820.79/10,792.95 = 4,284/x
  3. Step 3: Cross multiply
    7,820.79x = 10,792.95 × 4,284
  4. Step 4: Simplify right side
    7,820.79x = 46,236,997.80
  5. Step 5: Solve for x
    x = 46,236,997.80/7,820.79
  6. Step 6: Final answer
    x = 5,912.06

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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.