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Finding the Fourth Proportional to 2,952.77, 4,428.81 and 761.67

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Solution

The fourth proportional to 2,952.77, 4,428.81 and 761.67 is: 1,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.77 : 4,428.81 = 761.67 : x
  2. Step 2: Convert to fraction form
    2,952.77/4,428.81 = 761.67/x
  3. Step 3: Cross multiply
    2,952.77x = 4,428.81 × 761.67
  4. Step 4: Simplify right side
    2,952.77x = 3,373,291.71
  5. Step 5: Solve for x
    x = 3,373,291.71/2,952.77
  6. Step 6: Final answer
    x = 1,142.42

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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.