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Finding the Fourth Proportional to 9,317.28, 13,984.16 and 8,328.48

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Solution

The fourth proportional to 9,317.28, 13,984.16 and 8,328.48 is: 12,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.28 : 13,984.16 = 8,328.48 : x
  2. Step 2: Convert to fraction form
    9,317.28/13,984.16 = 8,328.48/x
  3. Step 3: Cross multiply
    9,317.28x = 13,984.16 × 8,328.48
  4. Step 4: Simplify right side
    9,317.28x = 116,466,796.88
  5. Step 5: Solve for x
    x = 116,466,796.88/9,317.28
  6. Step 6: Final answer
    x = 12,500.09

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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.