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Finding the Fourth Proportional to 10,840.32, 14,961.02 and 6,124.50

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Solution

The fourth proportional to 10,840.32, 14,961.02 and 6,124.50 is: 8,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.32 : 14,961.02 = 6,124.50 : x
  2. Step 2: Convert to fraction form
    10,840.32/14,961.02 = 6,124.50/x
  3. Step 3: Cross multiply
    10,840.32x = 14,961.02 × 6,124.50
  4. Step 4: Simplify right side
    10,840.32x = 91,628,736.37
  5. Step 5: Solve for x
    x = 91,628,736.37/10,840.32
  6. Step 6: Final answer
    x = 8,452.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.