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Finding the Fourth Proportional to 20,804.46, 31,187.01 and 6,943.50

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Solution

The fourth proportional to 20,804.46, 31,187.01 and 6,943.50 is: 10,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.46 : 31,187.01 = 6,943.50 : x
  2. Step 2: Convert to fraction form
    20,804.46/31,187.01 = 6,943.50/x
  3. Step 3: Cross multiply
    20,804.46x = 31,187.01 × 6,943.50
  4. Step 4: Simplify right side
    20,804.46x = 216,547,003.94
  5. Step 5: Solve for x
    x = 216,547,003.94/20,804.46
  6. Step 6: Final answer
    x = 10,408.68

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1.5x scale

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.