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Finding the Fourth Proportional to 28,576.34, 42,866.56 and 9,856.10

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Solution

The fourth proportional to 28,576.34, 42,866.56 and 9,856.10 is: 14,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,576.34 : 42,866.56 = 9,856.10 : x
  2. Step 2: Convert to fraction form
    28,576.34/42,866.56 = 9,856.10/x
  3. Step 3: Cross multiply
    28,576.34x = 42,866.56 × 9,856.10
  4. Step 4: Simplify right side
    28,576.34x = 422,497,157.80
  5. Step 5: Solve for x
    x = 422,497,157.80/28,576.34
  6. Step 6: Final answer
    x = 14,784.86

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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.