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Finding the Fourth Proportional to 9,286, 12,814.68 and 5,094.26

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Solution

The fourth proportional to 9,286, 12,814.68 and 5,094.26 is: 7,030.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286 : 12,814.68 = 5,094.26 : x
  2. Step 2: Convert to fraction form
    9,286/12,814.68 = 5,094.26/x
  3. Step 3: Cross multiply
    9,286x = 12,814.68 × 5,094.26
  4. Step 4: Simplify right side
    9,286x = 65,281,311.74
  5. Step 5: Solve for x
    x = 65,281,311.74/9,286
  6. Step 6: Final answer
    x = 7,030.08

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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.