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Finding the Fourth Proportional to 5,274.24, 7,278.47 and 2,916.38

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Solution

The fourth proportional to 5,274.24, 7,278.47 and 2,916.38 is: 4,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.24 : 7,278.47 = 2,916.38 : x
  2. Step 2: Convert to fraction form
    5,274.24/7,278.47 = 2,916.38/x
  3. Step 3: Cross multiply
    5,274.24x = 7,278.47 × 2,916.38
  4. Step 4: Simplify right side
    5,274.24x = 21,226,733.36
  5. Step 5: Solve for x
    x = 21,226,733.36/5,274.24
  6. Step 6: Final answer
    x = 4,024.61

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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.