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Finding the Fourth Proportional to 31,122.70, 46,574.70 and 21,281.20

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Solution

The fourth proportional to 31,122.70, 46,574.70 and 21,281.20 is: 31,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122.70 : 46,574.70 = 21,281.20 : x
  2. Step 2: Convert to fraction form
    31,122.70/46,574.70 = 21,281.20/x
  3. Step 3: Cross multiply
    31,122.70x = 46,574.70 × 21,281.20
  4. Step 4: Simplify right side
    31,122.70x = 991,165,505.64
  5. Step 5: Solve for x
    x = 991,165,505.64/31,122.70
  6. Step 6: Final answer
    x = 31,847.03

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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.