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Finding the Fourth Proportional to 10,999.66, 16,419.83 and 9,669.58

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Solution

The fourth proportional to 10,999.66, 16,419.83 and 9,669.58 is: 14,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.66 : 16,419.83 = 9,669.58 : x
  2. Step 2: Convert to fraction form
    10,999.66/16,419.83 = 9,669.58/x
  3. Step 3: Cross multiply
    10,999.66x = 16,419.83 × 9,669.58
  4. Step 4: Simplify right side
    10,999.66x = 158,772,845.16
  5. Step 5: Solve for x
    x = 158,772,845.16/10,999.66
  6. Step 6: Final answer
    x = 14,434.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.