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Finding the Fourth Proportional to 31,172.91, 46,748.43 and 8,980.35

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Solution

The fourth proportional to 31,172.91, 46,748.43 and 8,980.35 is: 13,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,172.91 : 46,748.43 = 8,980.35 : x
  2. Step 2: Convert to fraction form
    31,172.91/46,748.43 = 8,980.35/x
  3. Step 3: Cross multiply
    31,172.91x = 46,748.43 × 8,980.35
  4. Step 4: Simplify right side
    31,172.91x = 419,817,263.35
  5. Step 5: Solve for x
    x = 419,817,263.35/31,172.91
  6. Step 6: Final answer
    x = 13,467.37

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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.