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Finding the Fourth Proportional to 4,852, 7,278.36 and 1,389.52

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Solution

The fourth proportional to 4,852, 7,278.36 and 1,389.52 is: 2,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852 : 7,278.36 = 1,389.52 : x
  2. Step 2: Convert to fraction form
    4,852/7,278.36 = 1,389.52/x
  3. Step 3: Cross multiply
    4,852x = 7,278.36 × 1,389.52
  4. Step 4: Simplify right side
    4,852x = 10,113,426.79
  5. Step 5: Solve for x
    x = 10,113,426.79/4,852
  6. Step 6: Final answer
    x = 2,084.38

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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.