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Finding the Fourth Proportional to 11,785, 16,264.80 and 6,817

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Solution

The fourth proportional to 11,785, 16,264.80 and 6,817 is: 9,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785 : 16,264.80 = 6,817 : x
  2. Step 2: Convert to fraction form
    11,785/16,264.80 = 6,817/x
  3. Step 3: Cross multiply
    11,785x = 16,264.80 × 6,817
  4. Step 4: Simplify right side
    11,785x = 110,877,141.60
  5. Step 5: Solve for x
    x = 110,877,141.60/11,785
  6. Step 6: Final answer
    x = 9,408.33

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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.