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Finding the Fourth Proportional to 31,308.44, 46,970.34 and 9,122

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Solution

The fourth proportional to 31,308.44, 46,970.34 and 9,122 is: 13,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,308.44 : 46,970.34 = 9,122 : x
  2. Step 2: Convert to fraction form
    31,308.44/46,970.34 = 9,122/x
  3. Step 3: Cross multiply
    31,308.44x = 46,970.34 × 9,122
  4. Step 4: Simplify right side
    31,308.44x = 428,463,441.48
  5. Step 5: Solve for x
    x = 428,463,441.48/31,308.44
  6. Step 6: Final answer
    x = 13,685.24

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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.