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Finding the Fourth Proportional to 3,043, 4,564.86 and 991

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Solution

The fourth proportional to 3,043, 4,564.86 and 991 is: 1,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043 : 4,564.86 = 991 : x
  2. Step 2: Convert to fraction form
    3,043/4,564.86 = 991/x
  3. Step 3: Cross multiply
    3,043x = 4,564.86 × 991
  4. Step 4: Simplify right side
    3,043x = 4,523,776.26
  5. Step 5: Solve for x
    x = 4,523,776.26/3,043
  6. Step 6: Final answer
    x = 1,486.62

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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.