Home / 1,471.14-2,030.76-1,098.72

Finding the Fourth Proportional to 1,471.14, 2,030.76 and 1,098.72

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Solution

The fourth proportional to 1,471.14, 2,030.76 and 1,098.72 is: 1,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.14 : 2,030.76 = 1,098.72 : x
  2. Step 2: Convert to fraction form
    1,471.14/2,030.76 = 1,098.72/x
  3. Step 3: Cross multiply
    1,471.14x = 2,030.76 × 1,098.72
  4. Step 4: Simplify right side
    1,471.14x = 2,231,236.63
  5. Step 5: Solve for x
    x = 2,231,236.63/1,471.14
  6. Step 6: Final answer
    x = 1,516.67

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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.