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Finding the Fourth Proportional to 5,278.66, 7,918.00 and 1,768.02

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Solution

The fourth proportional to 5,278.66, 7,918.00 and 1,768.02 is: 2,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.66 : 7,918.00 = 1,768.02 : x
  2. Step 2: Convert to fraction form
    5,278.66/7,918.00 = 1,768.02/x
  3. Step 3: Cross multiply
    5,278.66x = 7,918.00 × 1,768.02
  4. Step 4: Simplify right side
    5,278.66x = 13,999,192.79
  5. Step 5: Solve for x
    x = 13,999,192.79/5,278.66
  6. Step 6: Final answer
    x = 2,652.03

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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.