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Finding the Fourth Proportional to 19,471.50, 26,870.10 and 10,974.12

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Solution

The fourth proportional to 19,471.50, 26,870.10 and 10,974.12 is: 15,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471.50 : 26,870.10 = 10,974.12 : x
  2. Step 2: Convert to fraction form
    19,471.50/26,870.10 = 10,974.12/x
  3. Step 3: Cross multiply
    19,471.50x = 26,870.10 × 10,974.12
  4. Step 4: Simplify right side
    19,471.50x = 294,875,701.81
  5. Step 5: Solve for x
    x = 294,875,701.81/19,471.50
  6. Step 6: Final answer
    x = 15,143.96

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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.