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Finding the Fourth Proportional to 30,618, 45,926.64 and 15,855.84

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Solution

The fourth proportional to 30,618, 45,926.64 and 15,855.84 is: 23,783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,618 : 45,926.64 = 15,855.84 : x
  2. Step 2: Convert to fraction form
    30,618/45,926.64 = 15,855.84/x
  3. Step 3: Cross multiply
    30,618x = 45,926.64 × 15,855.84
  4. Step 4: Simplify right side
    30,618x = 728,205,455.58
  5. Step 5: Solve for x
    x = 728,205,455.58/30,618
  6. Step 6: Final answer
    x = 23,783.57

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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.