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Finding the Fourth Proportional to 5,274, 7,278.14 and 2,916.16

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Solution

The fourth proportional to 5,274, 7,278.14 and 2,916.16 is: 4,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274 : 7,278.14 = 2,916.16 : x
  2. Step 2: Convert to fraction form
    5,274/7,278.14 = 2,916.16/x
  3. Step 3: Cross multiply
    5,274x = 7,278.14 × 2,916.16
  4. Step 4: Simplify right side
    5,274x = 21,224,220.74
  5. Step 5: Solve for x
    x = 21,224,220.74/5,274
  6. Step 6: Final answer
    x = 4,024.31

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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.