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Finding the Fourth Proportional to 3,071.29, 4,607.84 and 991.26

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Solution

The fourth proportional to 3,071.29, 4,607.84 and 991.26 is: 1,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.29 : 4,607.84 = 991.26 : x
  2. Step 2: Convert to fraction form
    3,071.29/4,607.84 = 991.26/x
  3. Step 3: Cross multiply
    3,071.29x = 4,607.84 × 991.26
  4. Step 4: Simplify right side
    3,071.29x = 4,567,539.48
  5. Step 5: Solve for x
    x = 4,567,539.48/3,071.29
  6. Step 6: Final answer
    x = 1,487.17

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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.