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Finding the Fourth Proportional to 12,211.16, 18,312.72 and 4,312.24

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Solution

The fourth proportional to 12,211.16, 18,312.72 and 4,312.24 is: 6,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.16 : 18,312.72 = 4,312.24 : x
  2. Step 2: Convert to fraction form
    12,211.16/18,312.72 = 4,312.24/x
  3. Step 3: Cross multiply
    12,211.16x = 18,312.72 × 4,312.24
  4. Step 4: Simplify right side
    12,211.16x = 78,968,781.74
  5. Step 5: Solve for x
    x = 78,968,781.74/12,211.16
  6. Step 6: Final answer
    x = 6,466.94

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