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Finding the Fourth Proportional to 31,253.95, 43,119.74 and 17,815.49

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Solution

The fourth proportional to 31,253.95, 43,119.74 and 17,815.49 is: 24,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,253.95 : 43,119.74 = 17,815.49 : x
  2. Step 2: Convert to fraction form
    31,253.95/43,119.74 = 17,815.49/x
  3. Step 3: Cross multiply
    31,253.95x = 43,119.74 × 17,815.49
  4. Step 4: Simplify right side
    31,253.95x = 768,199,529.96
  5. Step 5: Solve for x
    x = 768,199,529.96/31,253.95
  6. Step 6: Final answer
    x = 24,579.28

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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.