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Finding the Fourth Proportional to 21,046.81, 31,573.23 and 7,002.22

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Solution

The fourth proportional to 21,046.81, 31,573.23 and 7,002.22 is: 10,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046.81 : 31,573.23 = 7,002.22 : x
  2. Step 2: Convert to fraction form
    21,046.81/31,573.23 = 7,002.22/x
  3. Step 3: Cross multiply
    21,046.81x = 31,573.23 × 7,002.22
  4. Step 4: Simplify right side
    21,046.81x = 221,082,702.57
  5. Step 5: Solve for x
    x = 221,082,702.57/21,046.81
  6. Step 6: Final answer
    x = 10,504.33

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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.