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Finding the Fourth Proportional to 1,576.64, 2,174.64 and 1,051.76

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Solution

The fourth proportional to 1,576.64, 2,174.64 and 1,051.76 is: 1,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.64 : 2,174.64 = 1,051.76 : x
  2. Step 2: Convert to fraction form
    1,576.64/2,174.64 = 1,051.76/x
  3. Step 3: Cross multiply
    1,576.64x = 2,174.64 × 1,051.76
  4. Step 4: Simplify right side
    1,576.64x = 2,287,199.37
  5. Step 5: Solve for x
    x = 2,287,199.37/1,576.64
  6. Step 6: Final answer
    x = 1,450.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.