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Finding the Fourth Proportional to 10,289, 14,202.06 and 6,563

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Solution

The fourth proportional to 10,289, 14,202.06 and 6,563 is: 9,059.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289 : 14,202.06 = 6,563 : x
  2. Step 2: Convert to fraction form
    10,289/14,202.06 = 6,563/x
  3. Step 3: Cross multiply
    10,289x = 14,202.06 × 6,563
  4. Step 4: Simplify right side
    10,289x = 93,208,119.78
  5. Step 5: Solve for x
    x = 93,208,119.78/10,289
  6. Step 6: Final answer
    x = 9,059.01

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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.