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Finding the Fourth Proportional to 9,765.66, 13,476.66 and 5,289.42

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Solution

The fourth proportional to 9,765.66, 13,476.66 and 5,289.42 is: 7,299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.66 : 13,476.66 = 5,289.42 : x
  2. Step 2: Convert to fraction form
    9,765.66/13,476.66 = 5,289.42/x
  3. Step 3: Cross multiply
    9,765.66x = 13,476.66 × 5,289.42
  4. Step 4: Simplify right side
    9,765.66x = 71,283,714.94
  5. Step 5: Solve for x
    x = 71,283,714.94/9,765.66
  6. Step 6: Final answer
    x = 7,299.43

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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.