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Finding the Fourth Proportional to 2,608.64, 3,913.62 and 965.64

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Solution

The fourth proportional to 2,608.64, 3,913.62 and 965.64 is: 1,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.64 : 3,913.62 = 965.64 : x
  2. Step 2: Convert to fraction form
    2,608.64/3,913.62 = 965.64/x
  3. Step 3: Cross multiply
    2,608.64x = 3,913.62 × 965.64
  4. Step 4: Simplify right side
    2,608.64x = 3,779,148.02
  5. Step 5: Solve for x
    x = 3,779,148.02/2,608.64
  6. Step 6: Final answer
    x = 1,448.70

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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.