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Finding the Fourth Proportional to 10,866.36, 14,994.54 and 8,633.64

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Solution

The fourth proportional to 10,866.36, 14,994.54 and 8,633.64 is: 11,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.36 : 14,994.54 = 8,633.64 : x
  2. Step 2: Convert to fraction form
    10,866.36/14,994.54 = 8,633.64/x
  3. Step 3: Cross multiply
    10,866.36x = 14,994.54 × 8,633.64
  4. Step 4: Simplify right side
    10,866.36x = 129,457,460.33
  5. Step 5: Solve for x
    x = 129,457,460.33/10,866.36
  6. Step 6: Final answer
    x = 11,913.60

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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.