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Finding the Fourth Proportional to 4,253.68, 6,378 and 1,653.58

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Solution

The fourth proportional to 4,253.68, 6,378 and 1,653.58 is: 2,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.68 : 6,378 = 1,653.58 : x
  2. Step 2: Convert to fraction form
    4,253.68/6,378 = 1,653.58/x
  3. Step 3: Cross multiply
    4,253.68x = 6,378 × 1,653.58
  4. Step 4: Simplify right side
    4,253.68x = 10,546,533.24
  5. Step 5: Solve for x
    x = 10,546,533.24/4,253.68
  6. Step 6: Final answer
    x = 2,479.39

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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.