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Finding the Fourth Proportional to 34,897.64, 48,142.86 and 20,742.44

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Solution

The fourth proportional to 34,897.64, 48,142.86 and 20,742.44 is: 28,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,897.64 : 48,142.86 = 20,742.44 : x
  2. Step 2: Convert to fraction form
    34,897.64/48,142.86 = 20,742.44/x
  3. Step 3: Cross multiply
    34,897.64x = 48,142.86 × 20,742.44
  4. Step 4: Simplify right side
    34,897.64x = 998,600,384.98
  5. Step 5: Solve for x
    x = 998,600,384.98/34,897.64
  6. Step 6: Final answer
    x = 28,615.13

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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.