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Finding the Fourth Proportional to 30,050.46, 45,072.25 and 7,865.98

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Solution

The fourth proportional to 30,050.46, 45,072.25 and 7,865.98 is: 11,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,050.46 : 45,072.25 = 7,865.98 : x
  2. Step 2: Convert to fraction form
    30,050.46/45,072.25 = 7,865.98/x
  3. Step 3: Cross multiply
    30,050.46x = 45,072.25 × 7,865.98
  4. Step 4: Simplify right side
    30,050.46x = 354,537,284.71
  5. Step 5: Solve for x
    x = 354,537,284.71/30,050.46
  6. Step 6: Final answer
    x = 11,798.07

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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.