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Finding the Fourth Proportional to 12,958.53, 19,437.79 and 4,193.22

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Solution

The fourth proportional to 12,958.53, 19,437.79 and 4,193.22 is: 6,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,958.53 : 19,437.79 = 4,193.22 : x
  2. Step 2: Convert to fraction form
    12,958.53/19,437.79 = 4,193.22/x
  3. Step 3: Cross multiply
    12,958.53x = 19,437.79 × 4,193.22
  4. Step 4: Simplify right side
    12,958.53x = 81,506,929.78
  5. Step 5: Solve for x
    x = 81,506,929.78/12,958.53
  6. Step 6: Final answer
    x = 6,289.83

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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.