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Finding the Fourth Proportional to 12,316.90, 18,472.02 and 5,736.64

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Solution

The fourth proportional to 12,316.90, 18,472.02 and 5,736.64 is: 8,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.90 : 18,472.02 = 5,736.64 : x
  2. Step 2: Convert to fraction form
    12,316.90/18,472.02 = 5,736.64/x
  3. Step 3: Cross multiply
    12,316.90x = 18,472.02 × 5,736.64
  4. Step 4: Simplify right side
    12,316.90x = 105,967,328.81
  5. Step 5: Solve for x
    x = 105,967,328.81/12,316.90
  6. Step 6: Final answer
    x = 8,603.41

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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.