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Finding the Fourth Proportional to 12,703.52, 19,051.79 and 5,306.75

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Solution

The fourth proportional to 12,703.52, 19,051.79 and 5,306.75 is: 7,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.52 : 19,051.79 = 5,306.75 : x
  2. Step 2: Convert to fraction form
    12,703.52/19,051.79 = 5,306.75/x
  3. Step 3: Cross multiply
    12,703.52x = 19,051.79 × 5,306.75
  4. Step 4: Simplify right side
    12,703.52x = 101,103,086.58
  5. Step 5: Solve for x
    x = 101,103,086.58/12,703.52
  6. Step 6: Final answer
    x = 7,958.67

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1.5x scale

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.