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Finding the Fourth Proportional to 30,838.79, 46,258.31 and 7,465.19

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Solution

The fourth proportional to 30,838.79, 46,258.31 and 7,465.19 is: 11,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.79 : 46,258.31 = 7,465.19 : x
  2. Step 2: Convert to fraction form
    30,838.79/46,258.31 = 7,465.19/x
  3. Step 3: Cross multiply
    30,838.79x = 46,258.31 × 7,465.19
  4. Step 4: Simplify right side
    30,838.79x = 345,327,073.23
  5. Step 5: Solve for x
    x = 345,327,073.23/30,838.79
  6. Step 6: Final answer
    x = 11,197.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.