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Finding the Fourth Proportional to 11,478.32, 15,840.60 and 8,990

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Solution

The fourth proportional to 11,478.32, 15,840.60 and 8,990 is: 12,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.32 : 15,840.60 = 8,990 : x
  2. Step 2: Convert to fraction form
    11,478.32/15,840.60 = 8,990/x
  3. Step 3: Cross multiply
    11,478.32x = 15,840.60 × 8,990
  4. Step 4: Simplify right side
    11,478.32x = 142,406,994
  5. Step 5: Solve for x
    x = 142,406,994/11,478.32
  6. Step 6: Final answer
    x = 12,406.61

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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.