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Finding the Fourth Proportional to 8,171.63, 12,259.26 and 2,977.50

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Solution

The fourth proportional to 8,171.63, 12,259.26 and 2,977.50 is: 4,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.63 : 12,259.26 = 2,977.50 : x
  2. Step 2: Convert to fraction form
    8,171.63/12,259.26 = 2,977.50/x
  3. Step 3: Cross multiply
    8,171.63x = 12,259.26 × 2,977.50
  4. Step 4: Simplify right side
    8,171.63x = 36,501,946.65
  5. Step 5: Solve for x
    x = 36,501,946.65/8,171.63
  6. Step 6: Final answer
    x = 4,466.91

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1.5x scale

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.