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Finding the Fourth Proportional to 2,430.56, 3,662.10 and 2,199.71

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Solution

The fourth proportional to 2,430.56, 3,662.10 and 2,199.71 is: 3,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.56 : 3,662.10 = 2,199.71 : x
  2. Step 2: Convert to fraction form
    2,430.56/3,662.10 = 2,199.71/x
  3. Step 3: Cross multiply
    2,430.56x = 3,662.10 × 2,199.71
  4. Step 4: Simplify right side
    2,430.56x = 8,055,557.99
  5. Step 5: Solve for x
    x = 8,055,557.99/2,430.56
  6. Step 6: Final answer
    x = 3,314.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.