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Finding the Fourth Proportional to 30,049.34, 45,070.56 and 7,864.85

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Solution

The fourth proportional to 30,049.34, 45,070.56 and 7,864.85 is: 11,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,049.34 : 45,070.56 = 7,864.85 : x
  2. Step 2: Convert to fraction form
    30,049.34/45,070.56 = 7,864.85/x
  3. Step 3: Cross multiply
    30,049.34x = 45,070.56 × 7,864.85
  4. Step 4: Simplify right side
    30,049.34x = 354,473,306.49
  5. Step 5: Solve for x
    x = 354,473,306.49/30,049.34
  6. Step 6: Final answer
    x = 11,796.38

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1.5x scale

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.