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Finding the Fourth Proportional to 3,665.70, 5,058.72 and 2,153.70

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Solution

The fourth proportional to 3,665.70, 5,058.72 and 2,153.70 is: 2,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.70 : 5,058.72 = 2,153.70 : x
  2. Step 2: Convert to fraction form
    3,665.70/5,058.72 = 2,153.70/x
  3. Step 3: Cross multiply
    3,665.70x = 5,058.72 × 2,153.70
  4. Step 4: Simplify right side
    3,665.70x = 10,894,965.26
  5. Step 5: Solve for x
    x = 10,894,965.26/3,665.70
  6. Step 6: Final answer
    x = 2,972.14

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1.5x scale

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.