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Finding the Fourth Proportional to 8,747.44, 12,070.47 and 5,209.98

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Solution

The fourth proportional to 8,747.44, 12,070.47 and 5,209.98 is: 7,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,747.44 : 12,070.47 = 5,209.98 : x
  2. Step 2: Convert to fraction form
    8,747.44/12,070.47 = 5,209.98/x
  3. Step 3: Cross multiply
    8,747.44x = 12,070.47 × 5,209.98
  4. Step 4: Simplify right side
    8,747.44x = 62,886,907.29
  5. Step 5: Solve for x
    x = 62,886,907.29/8,747.44
  6. Step 6: Final answer
    x = 7,189.18

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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.