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Finding the Fourth Proportional to 13,765.61, 18,994.93 and 8,099.11

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Solution

The fourth proportional to 13,765.61, 18,994.93 and 8,099.11 is: 11,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.61 : 18,994.93 = 8,099.11 : x
  2. Step 2: Convert to fraction form
    13,765.61/18,994.93 = 8,099.11/x
  3. Step 3: Cross multiply
    13,765.61x = 18,994.93 × 8,099.11
  4. Step 4: Simplify right side
    13,765.61x = 153,842,027.51
  5. Step 5: Solve for x
    x = 153,842,027.51/13,765.61
  6. Step 6: Final answer
    x = 11,175.82

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1.5x scale

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.