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Finding the Fourth Proportional to 30,438, 45,675.69 and 12,907.83

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Solution

The fourth proportional to 30,438, 45,675.69 and 12,907.83 is: 19,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438 : 45,675.69 = 12,907.83 : x
  2. Step 2: Convert to fraction form
    30,438/45,675.69 = 12,907.83/x
  3. Step 3: Cross multiply
    30,438x = 45,675.69 × 12,907.83
  4. Step 4: Simplify right side
    30,438x = 589,574,041.65
  5. Step 5: Solve for x
    x = 589,574,041.65/30,438
  6. Step 6: Final answer
    x = 19,369.67

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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.