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Finding the Fourth Proportional to 1,684.79, 2,511.88 and 1,641.52

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Solution

The fourth proportional to 1,684.79, 2,511.88 and 1,641.52 is: 2,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.79 : 2,511.88 = 1,641.52 : x
  2. Step 2: Convert to fraction form
    1,684.79/2,511.88 = 1,641.52/x
  3. Step 3: Cross multiply
    1,684.79x = 2,511.88 × 1,641.52
  4. Step 4: Simplify right side
    1,684.79x = 4,123,301.26
  5. Step 5: Solve for x
    x = 4,123,301.26/1,684.79
  6. Step 6: Final answer
    x = 2,447.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.