Home / 1,267.12-1,898.52-1,023.76

Finding the Fourth Proportional to 1,267.12, 1,898.52 and 1,023.76

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Solution

The fourth proportional to 1,267.12, 1,898.52 and 1,023.76 is: 1,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.12 : 1,898.52 = 1,023.76 : x
  2. Step 2: Convert to fraction form
    1,267.12/1,898.52 = 1,023.76/x
  3. Step 3: Cross multiply
    1,267.12x = 1,898.52 × 1,023.76
  4. Step 4: Simplify right side
    1,267.12x = 1,943,628.84
  5. Step 5: Solve for x
    x = 1,943,628.84/1,267.12
  6. Step 6: Final answer
    x = 1,533.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.