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Finding the Fourth Proportional to 4,743.68, 7,112.32 and 1,664

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Solution

The fourth proportional to 4,743.68, 7,112.32 and 1,664 is: 2,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.68 : 7,112.32 = 1,664 : x
  2. Step 2: Convert to fraction form
    4,743.68/7,112.32 = 1,664/x
  3. Step 3: Cross multiply
    4,743.68x = 7,112.32 × 1,664
  4. Step 4: Simplify right side
    4,743.68x = 11,834,900.48
  5. Step 5: Solve for x
    x = 11,834,900.48/4,743.68
  6. Step 6: Final answer
    x = 2,494.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.