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Finding the Fourth Proportional to 34,120, 47,042.40 and 28,048

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Solution

The fourth proportional to 34,120, 47,042.40 and 28,048 is: 38,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,120 : 47,042.40 = 28,048 : x
  2. Step 2: Convert to fraction form
    34,120/47,042.40 = 28,048/x
  3. Step 3: Cross multiply
    34,120x = 47,042.40 × 28,048
  4. Step 4: Simplify right side
    34,120x = 1,319,445,235.20
  5. Step 5: Solve for x
    x = 1,319,445,235.20/34,120
  6. Step 6: Final answer
    x = 38,670.73

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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.