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Finding the Fourth Proportional to 30,470.12, 45,698.78 and 8,577

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Solution

The fourth proportional to 30,470.12, 45,698.78 and 8,577 is: 12,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.12 : 45,698.78 = 8,577 : x
  2. Step 2: Convert to fraction form
    30,470.12/45,698.78 = 8,577/x
  3. Step 3: Cross multiply
    30,470.12x = 45,698.78 × 8,577
  4. Step 4: Simplify right side
    30,470.12x = 391,958,436.06
  5. Step 5: Solve for x
    x = 391,958,436.06/30,470.12
  6. Step 6: Final answer
    x = 12,863.70

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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.