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Finding the Fourth Proportional to 2,430.64, 3,643.80 and 968.86

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Solution

The fourth proportional to 2,430.64, 3,643.80 and 968.86 is: 1,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.64 : 3,643.80 = 968.86 : x
  2. Step 2: Convert to fraction form
    2,430.64/3,643.80 = 968.86/x
  3. Step 3: Cross multiply
    2,430.64x = 3,643.80 × 968.86
  4. Step 4: Simplify right side
    2,430.64x = 3,530,332.07
  5. Step 5: Solve for x
    x = 3,530,332.07/2,430.64
  6. Step 6: Final answer
    x = 1,452.43

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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.