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Finding the Fourth Proportional to 7,011.84, 9,675.12 and 4,028.64

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Solution

The fourth proportional to 7,011.84, 9,675.12 and 4,028.64 is: 5,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.84 : 9,675.12 = 4,028.64 : x
  2. Step 2: Convert to fraction form
    7,011.84/9,675.12 = 4,028.64/x
  3. Step 3: Cross multiply
    7,011.84x = 9,675.12 × 4,028.64
  4. Step 4: Simplify right side
    7,011.84x = 38,977,575.44
  5. Step 5: Solve for x
    x = 38,977,575.44/7,011.84
  6. Step 6: Final answer
    x = 5,558.82

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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.