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Finding the Fourth Proportional to 30,603, 45,912.60 and 9,827.04

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Solution

The fourth proportional to 30,603, 45,912.60 and 9,827.04 is: 14,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603 : 45,912.60 = 9,827.04 : x
  2. Step 2: Convert to fraction form
    30,603/45,912.60 = 9,827.04/x
  3. Step 3: Cross multiply
    30,603x = 45,912.60 × 9,827.04
  4. Step 4: Simplify right side
    30,603x = 451,184,956.70
  5. Step 5: Solve for x
    x = 451,184,956.70/30,603
  6. Step 6: Final answer
    x = 14,743.16

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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.