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Finding the Fourth Proportional to 10,638.36, 14,667.66 and 6,855

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Solution

The fourth proportional to 10,638.36, 14,667.66 and 6,855 is: 9,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.36 : 14,667.66 = 6,855 : x
  2. Step 2: Convert to fraction form
    10,638.36/14,667.66 = 6,855/x
  3. Step 3: Cross multiply
    10,638.36x = 14,667.66 × 6,855
  4. Step 4: Simplify right side
    10,638.36x = 100,546,809.30
  5. Step 5: Solve for x
    x = 100,546,809.30/10,638.36
  6. Step 6: Final answer
    x = 9,451.34

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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.