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Finding the Fourth Proportional to 5,428, 8,143.08 and 2,350

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Solution

The fourth proportional to 5,428, 8,143.08 and 2,350 is: 3,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428 : 8,143.08 = 2,350 : x
  2. Step 2: Convert to fraction form
    5,428/8,143.08 = 2,350/x
  3. Step 3: Cross multiply
    5,428x = 8,143.08 × 2,350
  4. Step 4: Simplify right side
    5,428x = 19,136,238
  5. Step 5: Solve for x
    x = 19,136,238/5,428
  6. Step 6: Final answer
    x = 3,525.47

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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.