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Finding the Fourth Proportional to 21,223.40, 31,835.06 and 5,641.02

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Solution

The fourth proportional to 21,223.40, 31,835.06 and 5,641.02 is: 8,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,223.40 : 31,835.06 = 5,641.02 : x
  2. Step 2: Convert to fraction form
    21,223.40/31,835.06 = 5,641.02/x
  3. Step 3: Cross multiply
    21,223.40x = 31,835.06 × 5,641.02
  4. Step 4: Simplify right side
    21,223.40x = 179,582,181.96
  5. Step 5: Solve for x
    x = 179,582,181.96/21,223.40
  6. Step 6: Final answer
    x = 8,461.52

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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.