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Finding the Fourth Proportional to 9,909.28, 13,648.53 and 7,383.30

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Solution

The fourth proportional to 9,909.28, 13,648.53 and 7,383.30 is: 10,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.28 : 13,648.53 = 7,383.30 : x
  2. Step 2: Convert to fraction form
    9,909.28/13,648.53 = 7,383.30/x
  3. Step 3: Cross multiply
    9,909.28x = 13,648.53 × 7,383.30
  4. Step 4: Simplify right side
    9,909.28x = 100,771,191.55
  5. Step 5: Solve for x
    x = 100,771,191.55/9,909.28
  6. Step 6: Final answer
    x = 10,169.38

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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.