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Finding the Fourth Proportional to 10,990, 16,485.66 and 3,595.24

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Solution

The fourth proportional to 10,990, 16,485.66 and 3,595.24 is: 5,393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990 : 16,485.66 = 3,595.24 : x
  2. Step 2: Convert to fraction form
    10,990/16,485.66 = 3,595.24/x
  3. Step 3: Cross multiply
    10,990x = 16,485.66 × 3,595.24
  4. Step 4: Simplify right side
    10,990x = 59,269,904.26
  5. Step 5: Solve for x
    x = 59,269,904.26/10,990
  6. Step 6: Final answer
    x = 5,393.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.