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Finding the Fourth Proportional to 8,877.66, 12,257.01 and 6,857.40

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Solution

The fourth proportional to 8,877.66, 12,257.01 and 6,857.40 is: 9,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,877.66 : 12,257.01 = 6,857.40 : x
  2. Step 2: Convert to fraction form
    8,877.66/12,257.01 = 6,857.40/x
  3. Step 3: Cross multiply
    8,877.66x = 12,257.01 × 6,857.40
  4. Step 4: Simplify right side
    8,877.66x = 84,051,220.37
  5. Step 5: Solve for x
    x = 84,051,220.37/8,877.66
  6. Step 6: Final answer
    x = 9,467.72

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1.5x scale

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.