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Finding the Fourth Proportional to 4,748.75, 7,123.16 and 1,461.87

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Solution

The fourth proportional to 4,748.75, 7,123.16 and 1,461.87 is: 2,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.75 : 7,123.16 = 1,461.87 : x
  2. Step 2: Convert to fraction form
    4,748.75/7,123.16 = 1,461.87/x
  3. Step 3: Cross multiply
    4,748.75x = 7,123.16 × 1,461.87
  4. Step 4: Simplify right side
    4,748.75x = 10,413,090.98
  5. Step 5: Solve for x
    x = 10,413,090.98/4,748.75
  6. Step 6: Final answer
    x = 2,192.81

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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.