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Finding the Fourth Proportional to 30,638.16, 45,948.84 and 8,446.32

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Solution

The fourth proportional to 30,638.16, 45,948.84 and 8,446.32 is: 12,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.16 : 45,948.84 = 8,446.32 : x
  2. Step 2: Convert to fraction form
    30,638.16/45,948.84 = 8,446.32/x
  3. Step 3: Cross multiply
    30,638.16x = 45,948.84 × 8,446.32
  4. Step 4: Simplify right side
    30,638.16x = 388,098,606.27
  5. Step 5: Solve for x
    x = 388,098,606.27/30,638.16
  6. Step 6: Final answer
    x = 12,667.16

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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.