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Finding the Fourth Proportional to 10,976.64, 16,426.08 and 9,680.64

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Solution

The fourth proportional to 10,976.64, 16,426.08 and 9,680.64 is: 14,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.64 : 16,426.08 = 9,680.64 : x
  2. Step 2: Convert to fraction form
    10,976.64/16,426.08 = 9,680.64/x
  3. Step 3: Cross multiply
    10,976.64x = 16,426.08 × 9,680.64
  4. Step 4: Simplify right side
    10,976.64x = 159,014,967.09
  5. Step 5: Solve for x
    x = 159,014,967.09/10,976.64
  6. Step 6: Final answer
    x = 14,486.67

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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.