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Finding the Fourth Proportional to 4,681.76, 7,022.62 and 1,219

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Solution

The fourth proportional to 4,681.76, 7,022.62 and 1,219 is: 1,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.76 : 7,022.62 = 1,219 : x
  2. Step 2: Convert to fraction form
    4,681.76/7,022.62 = 1,219/x
  3. Step 3: Cross multiply
    4,681.76x = 7,022.62 × 1,219
  4. Step 4: Simplify right side
    4,681.76x = 8,560,573.78
  5. Step 5: Solve for x
    x = 8,560,573.78/4,681.76
  6. Step 6: Final answer
    x = 1,828.49

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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.