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Finding the Fourth Proportional to 3,191, 4,403.68 and 1,864.84

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Solution

The fourth proportional to 3,191, 4,403.68 and 1,864.84 is: 2,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191 : 4,403.68 = 1,864.84 : x
  2. Step 2: Convert to fraction form
    3,191/4,403.68 = 1,864.84/x
  3. Step 3: Cross multiply
    3,191x = 4,403.68 × 1,864.84
  4. Step 4: Simplify right side
    3,191x = 8,212,158.61
  5. Step 5: Solve for x
    x = 8,212,158.61/3,191
  6. Step 6: Final answer
    x = 2,573.54

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1.5x scale

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.