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Finding the Fourth Proportional to 4,689, 7,022.73 and 2,341.80

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Solution

The fourth proportional to 4,689, 7,022.73 and 2,341.80 is: 3,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689 : 7,022.73 = 2,341.80 : x
  2. Step 2: Convert to fraction form
    4,689/7,022.73 = 2,341.80/x
  3. Step 3: Cross multiply
    4,689x = 7,022.73 × 2,341.80
  4. Step 4: Simplify right side
    4,689x = 16,445,829.11
  5. Step 5: Solve for x
    x = 16,445,829.11/4,689
  6. Step 6: Final answer
    x = 3,507.32

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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.