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Finding the Fourth Proportional to 10,289, 14,202.46 and 6,097.26

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Solution

The fourth proportional to 10,289, 14,202.46 and 6,097.26 is: 8,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289 : 14,202.46 = 6,097.26 : x
  2. Step 2: Convert to fraction form
    10,289/14,202.46 = 6,097.26/x
  3. Step 3: Cross multiply
    10,289x = 14,202.46 × 6,097.26
  4. Step 4: Simplify right side
    10,289x = 86,596,091.26
  5. Step 5: Solve for x
    x = 86,596,091.26/10,289
  6. Step 6: Final answer
    x = 8,416.38

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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.