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Finding the Fourth Proportional to 5,226.84, 7,840.26 and 1,764

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Solution

The fourth proportional to 5,226.84, 7,840.26 and 1,764 is: 2,646

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.84 : 7,840.26 = 1,764 : x
  2. Step 2: Convert to fraction form
    5,226.84/7,840.26 = 1,764/x
  3. Step 3: Cross multiply
    5,226.84x = 7,840.26 × 1,764
  4. Step 4: Simplify right side
    5,226.84x = 13,830,218.64
  5. Step 5: Solve for x
    x = 13,830,218.64/5,226.84
  6. Step 6: Final answer
    x = 2,646

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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.