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Finding the Fourth Proportional to 13,877.81, 19,146.77 and 7,827.30

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Solution

The fourth proportional to 13,877.81, 19,146.77 and 7,827.30 is: 10,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.81 : 19,146.77 = 7,827.30 : x
  2. Step 2: Convert to fraction form
    13,877.81/19,146.77 = 7,827.30/x
  3. Step 3: Cross multiply
    13,877.81x = 19,146.77 × 7,827.30
  4. Step 4: Simplify right side
    13,877.81x = 149,867,473.68
  5. Step 5: Solve for x
    x = 149,867,473.68/13,877.81
  6. Step 6: Final answer
    x = 10,799.08

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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.