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Finding the Fourth Proportional to 22,471.95, 31,005.75 and 13,738.40

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Solution

The fourth proportional to 22,471.95, 31,005.75 and 13,738.40 is: 18,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.95 : 31,005.75 = 13,738.40 : x
  2. Step 2: Convert to fraction form
    22,471.95/31,005.75 = 13,738.40/x
  3. Step 3: Cross multiply
    22,471.95x = 31,005.75 × 13,738.40
  4. Step 4: Simplify right side
    22,471.95x = 425,969,240.77
  5. Step 5: Solve for x
    x = 425,969,240.77/22,471.95
  6. Step 6: Final answer
    x = 18,955.60

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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.