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Finding the Fourth Proportional to 21,954.23, 32,931.43 and 5,314.23

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Solution

The fourth proportional to 21,954.23, 32,931.43 and 5,314.23 is: 7,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954.23 : 32,931.43 = 5,314.23 : x
  2. Step 2: Convert to fraction form
    21,954.23/32,931.43 = 5,314.23/x
  3. Step 3: Cross multiply
    21,954.23x = 32,931.43 × 5,314.23
  4. Step 4: Simplify right side
    21,954.23x = 175,005,267.60
  5. Step 5: Solve for x
    x = 175,005,267.60/21,954.23
  6. Step 6: Final answer
    x = 7,971.37

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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.