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Finding the Fourth Proportional to 4,660, 6,991.08 and 1,582

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Solution

The fourth proportional to 4,660, 6,991.08 and 1,582 is: 2,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660 : 6,991.08 = 1,582 : x
  2. Step 2: Convert to fraction form
    4,660/6,991.08 = 1,582/x
  3. Step 3: Cross multiply
    4,660x = 6,991.08 × 1,582
  4. Step 4: Simplify right side
    4,660x = 11,059,888.56
  5. Step 5: Solve for x
    x = 11,059,888.56/4,660
  6. Step 6: Final answer
    x = 2,373.37

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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.