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Finding the Fourth Proportional to 9,318.16, 13,981.74 and 4,638.64

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Solution

The fourth proportional to 9,318.16, 13,981.74 and 4,638.64 is: 6,960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.16 : 13,981.74 = 4,638.64 : x
  2. Step 2: Convert to fraction form
    9,318.16/13,981.74 = 4,638.64/x
  3. Step 3: Cross multiply
    9,318.16x = 13,981.74 × 4,638.64
  4. Step 4: Simplify right side
    9,318.16x = 64,856,258.43
  5. Step 5: Solve for x
    x = 64,856,258.43/9,318.16
  6. Step 6: Final answer
    x = 6,960.20

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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.