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Finding the Fourth Proportional to 30,007, 45,010.58 and 8,119

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Solution

The fourth proportional to 30,007, 45,010.58 and 8,119 is: 12,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,007 : 45,010.58 = 8,119 : x
  2. Step 2: Convert to fraction form
    30,007/45,010.58 = 8,119/x
  3. Step 3: Cross multiply
    30,007x = 45,010.58 × 8,119
  4. Step 4: Simplify right side
    30,007x = 365,440,899.02
  5. Step 5: Solve for x
    x = 365,440,899.02/30,007
  6. Step 6: Final answer
    x = 12,178.52

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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.