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Finding the Fourth Proportional to 4,872.78, 7,309.26 and 1,410

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Solution

The fourth proportional to 4,872.78, 7,309.26 and 1,410 is: 2,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.78 : 7,309.26 = 1,410 : x
  2. Step 2: Convert to fraction form
    4,872.78/7,309.26 = 1,410/x
  3. Step 3: Cross multiply
    4,872.78x = 7,309.26 × 1,410
  4. Step 4: Simplify right side
    4,872.78x = 10,306,056.60
  5. Step 5: Solve for x
    x = 10,306,056.60/4,872.78
  6. Step 6: Final answer
    x = 2,115.03

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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.