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Finding the Fourth Proportional to 7,076.64, 9,765.72 and 3,890.02

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Solution

The fourth proportional to 7,076.64, 9,765.72 and 3,890.02 is: 5,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.64 : 9,765.72 = 3,890.02 : x
  2. Step 2: Convert to fraction form
    7,076.64/9,765.72 = 3,890.02/x
  3. Step 3: Cross multiply
    7,076.64x = 9,765.72 × 3,890.02
  4. Step 4: Simplify right side
    7,076.64x = 37,988,846.11
  5. Step 5: Solve for x
    x = 37,988,846.11/7,076.64
  6. Step 6: Final answer
    x = 5,368.20

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Why These Related Problems?

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