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Finding the Fourth Proportional to 30,729.84, 46,107.72 and 28,278

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Solution

The fourth proportional to 30,729.84, 46,107.72 and 28,278 is: 42,428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729.84 : 46,107.72 = 28,278 : x
  2. Step 2: Convert to fraction form
    30,729.84/46,107.72 = 28,278/x
  3. Step 3: Cross multiply
    30,729.84x = 46,107.72 × 28,278
  4. Step 4: Simplify right side
    30,729.84x = 1,303,834,106.16
  5. Step 5: Solve for x
    x = 1,303,834,106.16/30,729.84
  6. Step 6: Final answer
    x = 42,428.93

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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.