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Finding the Fourth Proportional to 28,357.70, 42,540.60 and 9,638.60

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Solution

The fourth proportional to 28,357.70, 42,540.60 and 9,638.60 is: 14,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,357.70 : 42,540.60 = 9,638.60 : x
  2. Step 2: Convert to fraction form
    28,357.70/42,540.60 = 9,638.60/x
  3. Step 3: Cross multiply
    28,357.70x = 42,540.60 × 9,638.60
  4. Step 4: Simplify right side
    28,357.70x = 410,031,827.16
  5. Step 5: Solve for x
    x = 410,031,827.16/28,357.70
  6. Step 6: Final answer
    x = 14,459.28

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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.