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Finding the Fourth Proportional to 15,428, 23,143.08 and 6,194

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Solution

The fourth proportional to 15,428, 23,143.08 and 6,194 is: 9,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428 : 23,143.08 = 6,194 : x
  2. Step 2: Convert to fraction form
    15,428/23,143.08 = 6,194/x
  3. Step 3: Cross multiply
    15,428x = 23,143.08 × 6,194
  4. Step 4: Simplify right side
    15,428x = 143,348,237.52
  5. Step 5: Solve for x
    x = 143,348,237.52/15,428
  6. Step 6: Final answer
    x = 9,291.43

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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.