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Finding the Fourth Proportional to 4,688, 7,022 and 3,039.66

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Solution

The fourth proportional to 4,688, 7,022 and 3,039.66 is: 4,553.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688 : 7,022 = 3,039.66 : x
  2. Step 2: Convert to fraction form
    4,688/7,022 = 3,039.66/x
  3. Step 3: Cross multiply
    4,688x = 7,022 × 3,039.66
  4. Step 4: Simplify right side
    4,688x = 21,344,492.52
  5. Step 5: Solve for x
    x = 21,344,492.52/4,688
  6. Step 6: Final answer
    x = 4,553.01

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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.