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Finding the Fourth Proportional to 20,973.61, 31,460.41 and 7,647.61

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Solution

The fourth proportional to 20,973.61, 31,460.41 and 7,647.61 is: 11,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,973.61 : 31,460.41 = 7,647.61 : x
  2. Step 2: Convert to fraction form
    20,973.61/31,460.41 = 7,647.61/x
  3. Step 3: Cross multiply
    20,973.61x = 31,460.41 × 7,647.61
  4. Step 4: Simplify right side
    20,973.61x = 240,596,946.12
  5. Step 5: Solve for x
    x = 240,596,946.12/20,973.61
  6. Step 6: Final answer
    x = 11,471.41

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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.