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Finding the Fourth Proportional to 30,859.64, 46,289.46 and 7,485.88

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Solution

The fourth proportional to 30,859.64, 46,289.46 and 7,485.88 is: 11,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859.64 : 46,289.46 = 7,485.88 : x
  2. Step 2: Convert to fraction form
    30,859.64/46,289.46 = 7,485.88/x
  3. Step 3: Cross multiply
    30,859.64x = 46,289.46 × 7,485.88
  4. Step 4: Simplify right side
    30,859.64x = 346,517,342.82
  5. Step 5: Solve for x
    x = 346,517,342.82/30,859.64
  6. Step 6: Final answer
    x = 11,228.82

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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.