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Finding the Fourth Proportional to 12,986.63, 19,468.46 and 6,319.46

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Solution

The fourth proportional to 12,986.63, 19,468.46 and 6,319.46 is: 9,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.63 : 19,468.46 = 6,319.46 : x
  2. Step 2: Convert to fraction form
    12,986.63/19,468.46 = 6,319.46/x
  3. Step 3: Cross multiply
    12,986.63x = 19,468.46 × 6,319.46
  4. Step 4: Simplify right side
    12,986.63x = 123,030,025.29
  5. Step 5: Solve for x
    x = 123,030,025.29/12,986.63
  6. Step 6: Final answer
    x = 9,473.59

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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.