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Finding the Fourth Proportional to 3,926.64, 5,416.95 and 2,509.95

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Solution

The fourth proportional to 3,926.64, 5,416.95 and 2,509.95 is: 3,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.64 : 5,416.95 = 2,509.95 : x
  2. Step 2: Convert to fraction form
    3,926.64/5,416.95 = 2,509.95/x
  3. Step 3: Cross multiply
    3,926.64x = 5,416.95 × 2,509.95
  4. Step 4: Simplify right side
    3,926.64x = 13,596,273.65
  5. Step 5: Solve for x
    x = 13,596,273.65/3,926.64
  6. Step 6: Final answer
    x = 3,462.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.