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Finding the Fourth Proportional to 2,443.68, 3,666 and 712.32

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Solution

The fourth proportional to 2,443.68, 3,666 and 712.32 is: 1,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.68 : 3,666 = 712.32 : x
  2. Step 2: Convert to fraction form
    2,443.68/3,666 = 712.32/x
  3. Step 3: Cross multiply
    2,443.68x = 3,666 × 712.32
  4. Step 4: Simplify right side
    2,443.68x = 2,611,365.12
  5. Step 5: Solve for x
    x = 2,611,365.12/2,443.68
  6. Step 6: Final answer
    x = 1,068.62

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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.