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Finding the Fourth Proportional to 15,772.85, 21,759.70 and 9,056.94

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Solution

The fourth proportional to 15,772.85, 21,759.70 and 9,056.94 is: 12,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.85 : 21,759.70 = 9,056.94 : x
  2. Step 2: Convert to fraction form
    15,772.85/21,759.70 = 9,056.94/x
  3. Step 3: Cross multiply
    15,772.85x = 21,759.70 × 9,056.94
  4. Step 4: Simplify right side
    15,772.85x = 197,076,297.32
  5. Step 5: Solve for x
    x = 197,076,297.32/15,772.85
  6. Step 6: Final answer
    x = 12,494.65

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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.