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Finding the Fourth Proportional to 7,040.46, 9,712.40 and 4,651.37

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Solution

The fourth proportional to 7,040.46, 9,712.40 and 4,651.37 is: 6,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.46 : 9,712.40 = 4,651.37 : x
  2. Step 2: Convert to fraction form
    7,040.46/9,712.40 = 4,651.37/x
  3. Step 3: Cross multiply
    7,040.46x = 9,712.40 × 4,651.37
  4. Step 4: Simplify right side
    7,040.46x = 45,175,894.17
  5. Step 5: Solve for x
    x = 45,175,894.17/7,040.46
  6. Step 6: Final answer
    x = 6,416.61

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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.