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Finding the Fourth Proportional to 7,656.46, 11,477.40 and 2,458.69

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Solution

The fourth proportional to 7,656.46, 11,477.40 and 2,458.69 is: 3,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.46 : 11,477.40 = 2,458.69 : x
  2. Step 2: Convert to fraction form
    7,656.46/11,477.40 = 2,458.69/x
  3. Step 3: Cross multiply
    7,656.46x = 11,477.40 × 2,458.69
  4. Step 4: Simplify right side
    7,656.46x = 28,219,330.69
  5. Step 5: Solve for x
    x = 28,219,330.69/7,656.46
  6. Step 6: Final answer
    x = 3,685.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.