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Finding the Fourth Proportional to 32,810.70, 49,216.05 and 21,137.10

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Solution

The fourth proportional to 32,810.70, 49,216.05 and 21,137.10 is: 31,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810.70 : 49,216.05 = 21,137.10 : x
  2. Step 2: Convert to fraction form
    32,810.70/49,216.05 = 21,137.10/x
  3. Step 3: Cross multiply
    32,810.70x = 49,216.05 × 21,137.10
  4. Step 4: Simplify right side
    32,810.70x = 1,040,284,570.46
  5. Step 5: Solve for x
    x = 1,040,284,570.46/32,810.70
  6. Step 6: Final answer
    x = 31,705.65

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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.