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Finding the Fourth Proportional to 20,386.49, 30,583.22 and 6,345.49

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Solution

The fourth proportional to 20,386.49, 30,583.22 and 6,345.49 is: 9,519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,386.49 : 30,583.22 = 6,345.49 : x
  2. Step 2: Convert to fraction form
    20,386.49/30,583.22 = 6,345.49/x
  3. Step 3: Cross multiply
    20,386.49x = 30,583.22 × 6,345.49
  4. Step 4: Simplify right side
    20,386.49x = 194,065,501.53
  5. Step 5: Solve for x
    x = 194,065,501.53/20,386.49
  6. Step 6: Final answer
    x = 9,519.32

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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.