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Finding the Fourth Proportional to 2,684.61, 4,024.89 and 1,643.49

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Solution

The fourth proportional to 2,684.61, 4,024.89 and 1,643.49 is: 2,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.61 : 4,024.89 = 1,643.49 : x
  2. Step 2: Convert to fraction form
    2,684.61/4,024.89 = 1,643.49/x
  3. Step 3: Cross multiply
    2,684.61x = 4,024.89 × 1,643.49
  4. Step 4: Simplify right side
    2,684.61x = 6,614,866.47
  5. Step 5: Solve for x
    x = 6,614,866.47/2,684.61
  6. Step 6: Final answer
    x = 2,464.00

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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.