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Finding the Fourth Proportional to 13,833.58, 19,090.12 and 7,865.12

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Solution

The fourth proportional to 13,833.58, 19,090.12 and 7,865.12 is: 10,853.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.58 : 19,090.12 = 7,865.12 : x
  2. Step 2: Convert to fraction form
    13,833.58/19,090.12 = 7,865.12/x
  3. Step 3: Cross multiply
    13,833.58x = 19,090.12 × 7,865.12
  4. Step 4: Simplify right side
    13,833.58x = 150,146,156.20
  5. Step 5: Solve for x
    x = 150,146,156.20/13,833.58
  6. Step 6: Final answer
    x = 10,853.74

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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.