Home / 3,043-4,564.50-1,581.76

Finding the Fourth Proportional to 3,043, 4,564.50 and 1,581.76

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Solution

The fourth proportional to 3,043, 4,564.50 and 1,581.76 is: 2,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043 : 4,564.50 = 1,581.76 : x
  2. Step 2: Convert to fraction form
    3,043/4,564.50 = 1,581.76/x
  3. Step 3: Cross multiply
    3,043x = 4,564.50 × 1,581.76
  4. Step 4: Simplify right side
    3,043x = 7,219,943.52
  5. Step 5: Solve for x
    x = 7,219,943.52/3,043
  6. Step 6: Final answer
    x = 2,372.64

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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.