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Finding the Fourth Proportional to 9,630.40, 14,445.60 and 4,446.40

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Solution

The fourth proportional to 9,630.40, 14,445.60 and 4,446.40 is: 6,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.40 : 14,445.60 = 4,446.40 : x
  2. Step 2: Convert to fraction form
    9,630.40/14,445.60 = 4,446.40/x
  3. Step 3: Cross multiply
    9,630.40x = 14,445.60 × 4,446.40
  4. Step 4: Simplify right side
    9,630.40x = 64,230,915.84
  5. Step 5: Solve for x
    x = 64,230,915.84/9,630.40
  6. Step 6: Final answer
    x = 6,669.60

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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.