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Finding the Fourth Proportional to 18,969.71, 26,178.06 and 10,471.84

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Solution

The fourth proportional to 18,969.71, 26,178.06 and 10,471.84 is: 14,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,969.71 : 26,178.06 = 10,471.84 : x
  2. Step 2: Convert to fraction form
    18,969.71/26,178.06 = 10,471.84/x
  3. Step 3: Cross multiply
    18,969.71x = 26,178.06 × 10,471.84
  4. Step 4: Simplify right side
    18,969.71x = 274,132,390.39
  5. Step 5: Solve for x
    x = 274,132,390.39/18,969.71
  6. Step 6: Final answer
    x = 14,451.06

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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.