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Finding the Fourth Proportional to 8,980.61, 13,471.14 and 3,137.22

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Solution

The fourth proportional to 8,980.61, 13,471.14 and 3,137.22 is: 4,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,980.61 : 13,471.14 = 3,137.22 : x
  2. Step 2: Convert to fraction form
    8,980.61/13,471.14 = 3,137.22/x
  3. Step 3: Cross multiply
    8,980.61x = 13,471.14 × 3,137.22
  4. Step 4: Simplify right side
    8,980.61x = 42,261,929.83
  5. Step 5: Solve for x
    x = 42,261,929.83/8,980.61
  6. Step 6: Final answer
    x = 4,705.91

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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.