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Finding the Fourth Proportional to 4,872.78, 7,312.05 and 1,796.94

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Solution

The fourth proportional to 4,872.78, 7,312.05 and 1,796.94 is: 2,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.78 : 7,312.05 = 1,796.94 : x
  2. Step 2: Convert to fraction form
    4,872.78/7,312.05 = 1,796.94/x
  3. Step 3: Cross multiply
    4,872.78x = 7,312.05 × 1,796.94
  4. Step 4: Simplify right side
    4,872.78x = 13,139,315.13
  5. Step 5: Solve for x
    x = 13,139,315.13/4,872.78
  6. Step 6: Final answer
    x = 2,696.47

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1.5x scale

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.