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Finding the Fourth Proportional to 3,310, 4,567.86 and 1,913.20

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Solution

The fourth proportional to 3,310, 4,567.86 and 1,913.20 is: 2,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310 : 4,567.86 = 1,913.20 : x
  2. Step 2: Convert to fraction form
    3,310/4,567.86 = 1,913.20/x
  3. Step 3: Cross multiply
    3,310x = 4,567.86 × 1,913.20
  4. Step 4: Simplify right side
    3,310x = 8,739,229.75
  5. Step 5: Solve for x
    x = 8,739,229.75/3,310
  6. Step 6: Final answer
    x = 2,640.25

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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.