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Finding the Fourth Proportional to 12,904.16, 19,355.82 and 3,670.16

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Solution

The fourth proportional to 12,904.16, 19,355.82 and 3,670.16 is: 5,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.16 : 19,355.82 = 3,670.16 : x
  2. Step 2: Convert to fraction form
    12,904.16/19,355.82 = 3,670.16/x
  3. Step 3: Cross multiply
    12,904.16x = 19,355.82 × 3,670.16
  4. Step 4: Simplify right side
    12,904.16x = 71,038,859.55
  5. Step 5: Solve for x
    x = 71,038,859.55/12,904.16
  6. Step 6: Final answer
    x = 5,505.12

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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.