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Finding the Fourth Proportional to 3,650.91, 5,038.26 and 1,972.32

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Solution

The fourth proportional to 3,650.91, 5,038.26 and 1,972.32 is: 2,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.91 : 5,038.26 = 1,972.32 : x
  2. Step 2: Convert to fraction form
    3,650.91/5,038.26 = 1,972.32/x
  3. Step 3: Cross multiply
    3,650.91x = 5,038.26 × 1,972.32
  4. Step 4: Simplify right side
    3,650.91x = 9,937,061.48
  5. Step 5: Solve for x
    x = 9,937,061.48/3,650.91
  6. Step 6: Final answer
    x = 2,721.80

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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.