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Finding the Fourth Proportional to 2,543.79, 3,813.24 and 1,616.47

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Solution

The fourth proportional to 2,543.79, 3,813.24 and 1,616.47 is: 2,423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.79 : 3,813.24 = 1,616.47 : x
  2. Step 2: Convert to fraction form
    2,543.79/3,813.24 = 1,616.47/x
  3. Step 3: Cross multiply
    2,543.79x = 3,813.24 × 1,616.47
  4. Step 4: Simplify right side
    2,543.79x = 6,163,988.06
  5. Step 5: Solve for x
    x = 6,163,988.06/2,543.79
  6. Step 6: Final answer
    x = 2,423.15

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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.