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Finding the Fourth Proportional to 30,780.51, 46,178.98 and 11,059.23

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Solution

The fourth proportional to 30,780.51, 46,178.98 and 11,059.23 is: 16,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780.51 : 46,178.98 = 11,059.23 : x
  2. Step 2: Convert to fraction form
    30,780.51/46,178.98 = 11,059.23/x
  3. Step 3: Cross multiply
    30,780.51x = 46,178.98 × 11,059.23
  4. Step 4: Simplify right side
    30,780.51x = 510,704,106.51
  5. Step 5: Solve for x
    x = 510,704,106.51/30,780.51
  6. Step 6: Final answer
    x = 16,591.80

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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.