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Finding the Fourth Proportional to 10,415.16, 14,372.46 and 5,699.64

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Solution

The fourth proportional to 10,415.16, 14,372.46 and 5,699.64 is: 7,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.16 : 14,372.46 = 5,699.64 : x
  2. Step 2: Convert to fraction form
    10,415.16/14,372.46 = 5,699.64/x
  3. Step 3: Cross multiply
    10,415.16x = 14,372.46 × 5,699.64
  4. Step 4: Simplify right side
    10,415.16x = 81,917,847.91
  5. Step 5: Solve for x
    x = 81,917,847.91/10,415.16
  6. Step 6: Final answer
    x = 7,865.25

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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.