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Finding the Fourth Proportional to 10,330, 14,242.08 and 8,439.60

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Solution

The fourth proportional to 10,330, 14,242.08 and 8,439.60 is: 11,635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330 : 14,242.08 = 8,439.60 : x
  2. Step 2: Convert to fraction form
    10,330/14,242.08 = 8,439.60/x
  3. Step 3: Cross multiply
    10,330x = 14,242.08 × 8,439.60
  4. Step 4: Simplify right side
    10,330x = 120,197,458.37
  5. Step 5: Solve for x
    x = 120,197,458.37/10,330
  6. Step 6: Final answer
    x = 11,635.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.