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Finding the Fourth Proportional to 9,139.56, 13,677.66 and 5,628

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Solution

The fourth proportional to 9,139.56, 13,677.66 and 5,628 is: 8,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.56 : 13,677.66 = 5,628 : x
  2. Step 2: Convert to fraction form
    9,139.56/13,677.66 = 5,628/x
  3. Step 3: Cross multiply
    9,139.56x = 13,677.66 × 5,628
  4. Step 4: Simplify right side
    9,139.56x = 76,977,870.48
  5. Step 5: Solve for x
    x = 76,977,870.48/9,139.56
  6. Step 6: Final answer
    x = 8,422.49

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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.