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Finding the Fourth Proportional to 8,974.32, 12,384.24 and 4,995.60

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Solution

The fourth proportional to 8,974.32, 12,384.24 and 4,995.60 is: 6,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.32 : 12,384.24 = 4,995.60 : x
  2. Step 2: Convert to fraction form
    8,974.32/12,384.24 = 4,995.60/x
  3. Step 3: Cross multiply
    8,974.32x = 12,384.24 × 4,995.60
  4. Step 4: Simplify right side
    8,974.32x = 61,866,709.34
  5. Step 5: Solve for x
    x = 61,866,709.34/8,974.32
  6. Step 6: Final answer
    x = 6,893.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.