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Finding the Fourth Proportional to 3,459.08, 5,185.72 and 1,509.80

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Solution

The fourth proportional to 3,459.08, 5,185.72 and 1,509.80 is: 2,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.08 : 5,185.72 = 1,509.80 : x
  2. Step 2: Convert to fraction form
    3,459.08/5,185.72 = 1,509.80/x
  3. Step 3: Cross multiply
    3,459.08x = 5,185.72 × 1,509.80
  4. Step 4: Simplify right side
    3,459.08x = 7,829,400.06
  5. Step 5: Solve for x
    x = 7,829,400.06/3,459.08
  6. Step 6: Final answer
    x = 2,263.43

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