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Finding the Fourth Proportional to 12,046, 18,076.29 and 5,120.50

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Solution

The fourth proportional to 12,046, 18,076.29 and 5,120.50 is: 7,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046 : 18,076.29 = 5,120.50 : x
  2. Step 2: Convert to fraction form
    12,046/18,076.29 = 5,120.50/x
  3. Step 3: Cross multiply
    12,046x = 18,076.29 × 5,120.50
  4. Step 4: Simplify right side
    12,046x = 92,559,642.95
  5. Step 5: Solve for x
    x = 92,559,642.95/12,046
  6. Step 6: Final answer
    x = 7,683.85

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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.