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Finding the Fourth Proportional to 5,146.78, 7,720.26 and 1,684

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Solution

The fourth proportional to 5,146.78, 7,720.26 and 1,684 is: 2,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.78 : 7,720.26 = 1,684 : x
  2. Step 2: Convert to fraction form
    5,146.78/7,720.26 = 1,684/x
  3. Step 3: Cross multiply
    5,146.78x = 7,720.26 × 1,684
  4. Step 4: Simplify right side
    5,146.78x = 13,000,917.84
  5. Step 5: Solve for x
    x = 13,000,917.84/5,146.78
  6. Step 6: Final answer
    x = 2,526.03

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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.