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Finding the Fourth Proportional to 13,099.10, 19,656.75 and 5,307.98

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Solution

The fourth proportional to 13,099.10, 19,656.75 and 5,307.98 is: 7,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.10 : 19,656.75 = 5,307.98 : x
  2. Step 2: Convert to fraction form
    13,099.10/19,656.75 = 5,307.98/x
  3. Step 3: Cross multiply
    13,099.10x = 19,656.75 × 5,307.98
  4. Step 4: Simplify right side
    13,099.10x = 104,337,635.87
  5. Step 5: Solve for x
    x = 104,337,635.87/13,099.10
  6. Step 6: Final answer
    x = 7,965.25

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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.