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Finding the Fourth Proportional to 5,298.66, 7,943.13 and 2,698.56

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Solution

The fourth proportional to 5,298.66, 7,943.13 and 2,698.56 is: 4,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.66 : 7,943.13 = 2,698.56 : x
  2. Step 2: Convert to fraction form
    5,298.66/7,943.13 = 2,698.56/x
  3. Step 3: Cross multiply
    5,298.66x = 7,943.13 × 2,698.56
  4. Step 4: Simplify right side
    5,298.66x = 21,435,012.89
  5. Step 5: Solve for x
    x = 21,435,012.89/5,298.66
  6. Step 6: Final answer
    x = 4,045.36

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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.