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Finding the Fourth Proportional to 8,471.57, 12,690.35 and 4,075.97

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Solution

The fourth proportional to 8,471.57, 12,690.35 and 4,075.97 is: 6,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.57 : 12,690.35 = 4,075.97 : x
  2. Step 2: Convert to fraction form
    8,471.57/12,690.35 = 4,075.97/x
  3. Step 3: Cross multiply
    8,471.57x = 12,690.35 × 4,075.97
  4. Step 4: Simplify right side
    8,471.57x = 51,725,465.51
  5. Step 5: Solve for x
    x = 51,725,465.51/8,471.57
  6. Step 6: Final answer
    x = 6,105.77

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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.