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Finding the Fourth Proportional to 3,589.04, 5,385.08 and 1,943.64

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Solution

The fourth proportional to 3,589.04, 5,385.08 and 1,943.64 is: 2,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.04 : 5,385.08 = 1,943.64 : x
  2. Step 2: Convert to fraction form
    3,589.04/5,385.08 = 1,943.64/x
  3. Step 3: Cross multiply
    3,589.04x = 5,385.08 × 1,943.64
  4. Step 4: Simplify right side
    3,589.04x = 10,466,656.89
  5. Step 5: Solve for x
    x = 10,466,656.89/3,589.04
  6. Step 6: Final answer
    x = 2,916.28

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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.