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Finding the Fourth Proportional to 13,173.16, 19,758.30 and 3,937

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Solution

The fourth proportional to 13,173.16, 19,758.30 and 3,937 is: 5,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.16 : 19,758.30 = 3,937 : x
  2. Step 2: Convert to fraction form
    13,173.16/19,758.30 = 3,937/x
  3. Step 3: Cross multiply
    13,173.16x = 19,758.30 × 3,937
  4. Step 4: Simplify right side
    13,173.16x = 77,788,427.10
  5. Step 5: Solve for x
    x = 77,788,427.10/13,173.16
  6. Step 6: Final answer
    x = 5,905.07

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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.