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Finding the Fourth Proportional to 19,576.40, 29,364 and 4,785.36

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Solution

The fourth proportional to 19,576.40, 29,364 and 4,785.36 is: 7,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,576.40 : 29,364 = 4,785.36 : x
  2. Step 2: Convert to fraction form
    19,576.40/29,364 = 4,785.36/x
  3. Step 3: Cross multiply
    19,576.40x = 29,364 × 4,785.36
  4. Step 4: Simplify right side
    19,576.40x = 140,517,311.04
  5. Step 5: Solve for x
    x = 140,517,311.04/19,576.40
  6. Step 6: Final answer
    x = 7,177.89

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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.