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Finding the Fourth Proportional to 13,855.76, 19,106.40 and 9,134

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Solution

The fourth proportional to 13,855.76, 19,106.40 and 9,134 is: 12,595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.76 : 19,106.40 = 9,134 : x
  2. Step 2: Convert to fraction form
    13,855.76/19,106.40 = 9,134/x
  3. Step 3: Cross multiply
    13,855.76x = 19,106.40 × 9,134
  4. Step 4: Simplify right side
    13,855.76x = 174,517,857.60
  5. Step 5: Solve for x
    x = 174,517,857.60/13,855.76
  6. Step 6: Final answer
    x = 12,595.33

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Why These Related Problems?

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