Home / 4,762-7,143.09-1,299.34

Finding the Fourth Proportional to 4,762, 7,143.09 and 1,299.34

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Solution

The fourth proportional to 4,762, 7,143.09 and 1,299.34 is: 1,949.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762 : 7,143.09 = 1,299.34 : x
  2. Step 2: Convert to fraction form
    4,762/7,143.09 = 1,299.34/x
  3. Step 3: Cross multiply
    4,762x = 7,143.09 × 1,299.34
  4. Step 4: Simplify right side
    4,762x = 9,281,302.56
  5. Step 5: Solve for x
    x = 9,281,302.56/4,762
  6. Step 6: Final answer
    x = 1,949.03

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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.