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Finding the Fourth Proportional to 8,921.60, 12,311.90 and 5,384.14

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Solution

The fourth proportional to 8,921.60, 12,311.90 and 5,384.14 is: 7,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.60 : 12,311.90 = 5,384.14 : x
  2. Step 2: Convert to fraction form
    8,921.60/12,311.90 = 5,384.14/x
  3. Step 3: Cross multiply
    8,921.60x = 12,311.90 × 5,384.14
  4. Step 4: Simplify right side
    8,921.60x = 66,288,993.27
  5. Step 5: Solve for x
    x = 66,288,993.27/8,921.60
  6. Step 6: Final answer
    x = 7,430.17

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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.