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Finding the Fourth Proportional to 2,953.04, 4,429.56 and 761.78

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Solution

The fourth proportional to 2,953.04, 4,429.56 and 761.78 is: 1,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.04 : 4,429.56 = 761.78 : x
  2. Step 2: Convert to fraction form
    2,953.04/4,429.56 = 761.78/x
  3. Step 3: Cross multiply
    2,953.04x = 4,429.56 × 761.78
  4. Step 4: Simplify right side
    2,953.04x = 3,374,350.22
  5. Step 5: Solve for x
    x = 3,374,350.22/2,953.04
  6. Step 6: Final answer
    x = 1,142.67

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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.