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Finding the Fourth Proportional to 3,420.36, 4,728.07 and 3,051

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Solution

The fourth proportional to 3,420.36, 4,728.07 and 3,051 is: 4,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.36 : 4,728.07 = 3,051 : x
  2. Step 2: Convert to fraction form
    3,420.36/4,728.07 = 3,051/x
  3. Step 3: Cross multiply
    3,420.36x = 4,728.07 × 3,051
  4. Step 4: Simplify right side
    3,420.36x = 14,425,341.57
  5. Step 5: Solve for x
    x = 14,425,341.57/3,420.36
  6. Step 6: Final answer
    x = 4,217.49

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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.