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Finding the Fourth Proportional to 40,218, 55,507.32 and 23,447.76

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Solution

The fourth proportional to 40,218, 55,507.32 and 23,447.76 is: 32,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,218 : 55,507.32 = 23,447.76 : x
  2. Step 2: Convert to fraction form
    40,218/55,507.32 = 23,447.76/x
  3. Step 3: Cross multiply
    40,218x = 55,507.32 × 23,447.76
  4. Step 4: Simplify right side
    40,218x = 1,301,522,317.60
  5. Step 5: Solve for x
    x = 1,301,522,317.60/40,218
  6. Step 6: Final answer
    x = 32,361.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.