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Finding the Fourth Proportional to 4,286, 6,430.56 and 4,259.24

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Solution

The fourth proportional to 4,286, 6,430.56 and 4,259.24 is: 6,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286 : 6,430.56 = 4,259.24 : x
  2. Step 2: Convert to fraction form
    4,286/6,430.56 = 4,259.24/x
  3. Step 3: Cross multiply
    4,286x = 6,430.56 × 4,259.24
  4. Step 4: Simplify right side
    4,286x = 27,389,298.37
  5. Step 5: Solve for x
    x = 27,389,298.37/4,286
  6. Step 6: Final answer
    x = 6,390.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.