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Finding the Fourth Proportional to 4,191, 5,780.37 and 3,071.53

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Solution

The fourth proportional to 4,191, 5,780.37 and 3,071.53 is: 4,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191 : 5,780.37 = 3,071.53 : x
  2. Step 2: Convert to fraction form
    4,191/5,780.37 = 3,071.53/x
  3. Step 3: Cross multiply
    4,191x = 5,780.37 × 3,071.53
  4. Step 4: Simplify right side
    4,191x = 17,754,579.87
  5. Step 5: Solve for x
    x = 17,754,579.87/4,191
  6. Step 6: Final answer
    x = 4,236.36

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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.