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Finding the Fourth Proportional to 35,257.64, 48,647.94 and 20,345

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Solution

The fourth proportional to 35,257.64, 48,647.94 and 20,345 is: 28,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,257.64 : 48,647.94 = 20,345 : x
  2. Step 2: Convert to fraction form
    35,257.64/48,647.94 = 20,345/x
  3. Step 3: Cross multiply
    35,257.64x = 48,647.94 × 20,345
  4. Step 4: Simplify right side
    35,257.64x = 989,742,339.30
  5. Step 5: Solve for x
    x = 989,742,339.30/35,257.64
  6. Step 6: Final answer
    x = 28,071.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.