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Finding the Fourth Proportional to 7,678.76, 11,518.12 and 3,065

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Solution

The fourth proportional to 7,678.76, 11,518.12 and 3,065 is: 4,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.76 : 11,518.12 = 3,065 : x
  2. Step 2: Convert to fraction form
    7,678.76/11,518.12 = 3,065/x
  3. Step 3: Cross multiply
    7,678.76x = 11,518.12 × 3,065
  4. Step 4: Simplify right side
    7,678.76x = 35,303,037.80
  5. Step 5: Solve for x
    x = 35,303,037.80/7,678.76
  6. Step 6: Final answer
    x = 4,597.49

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Why These Related Problems?

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