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Finding the Fourth Proportional to 30,605.78, 45,904.35 and 9,826.58

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Solution

The fourth proportional to 30,605.78, 45,904.35 and 9,826.58 is: 14,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,605.78 : 45,904.35 = 9,826.58 : x
  2. Step 2: Convert to fraction form
    30,605.78/45,904.35 = 9,826.58/x
  3. Step 3: Cross multiply
    30,605.78x = 45,904.35 × 9,826.58
  4. Step 4: Simplify right side
    30,605.78x = 451,082,767.62
  5. Step 5: Solve for x
    x = 451,082,767.62/30,605.78
  6. Step 6: Final answer
    x = 14,738.48

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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.