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Finding the Fourth Proportional to 7,970.55, 11,959.44 and 5,635.32

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Solution

The fourth proportional to 7,970.55, 11,959.44 and 5,635.32 is: 8,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.55 : 11,959.44 = 5,635.32 : x
  2. Step 2: Convert to fraction form
    7,970.55/11,959.44 = 5,635.32/x
  3. Step 3: Cross multiply
    7,970.55x = 11,959.44 × 5,635.32
  4. Step 4: Simplify right side
    7,970.55x = 67,395,271.42
  5. Step 5: Solve for x
    x = 67,395,271.42/7,970.55
  6. Step 6: Final answer
    x = 8,455.54

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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.