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Finding the Fourth Proportional to 3,218, 4,437.06 and 2,509.06

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Solution

The fourth proportional to 3,218, 4,437.06 and 2,509.06 is: 3,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218 : 4,437.06 = 2,509.06 : x
  2. Step 2: Convert to fraction form
    3,218/4,437.06 = 2,509.06/x
  3. Step 3: Cross multiply
    3,218x = 4,437.06 × 2,509.06
  4. Step 4: Simplify right side
    3,218x = 11,132,849.76
  5. Step 5: Solve for x
    x = 11,132,849.76/3,218
  6. Step 6: Final answer
    x = 3,459.56

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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.