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Finding the Fourth Proportional to 13,877.95, 19,152.28 and 8,215.95

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Solution

The fourth proportional to 13,877.95, 19,152.28 and 8,215.95 is: 11,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.95 : 19,152.28 = 8,215.95 : x
  2. Step 2: Convert to fraction form
    13,877.95/19,152.28 = 8,215.95/x
  3. Step 3: Cross multiply
    13,877.95x = 19,152.28 × 8,215.95
  4. Step 4: Simplify right side
    13,877.95x = 157,354,174.87
  5. Step 5: Solve for x
    x = 157,354,174.87/13,877.95
  6. Step 6: Final answer
    x = 11,338.43

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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.