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Finding the Fourth Proportional to 3,151.86, 4,728.16 and 1,762.20

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Solution

The fourth proportional to 3,151.86, 4,728.16 and 1,762.20 is: 2,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.86 : 4,728.16 = 1,762.20 : x
  2. Step 2: Convert to fraction form
    3,151.86/4,728.16 = 1,762.20/x
  3. Step 3: Cross multiply
    3,151.86x = 4,728.16 × 1,762.20
  4. Step 4: Simplify right side
    3,151.86x = 8,331,963.55
  5. Step 5: Solve for x
    x = 8,331,963.55/3,151.86
  6. Step 6: Final answer
    x = 2,643.51

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1.5x scale

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.