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Finding the Fourth Proportional to 12,319.28, 16,998.64 and 7,014.20

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Solution

The fourth proportional to 12,319.28, 16,998.64 and 7,014.20 is: 9,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.28 : 16,998.64 = 7,014.20 : x
  2. Step 2: Convert to fraction form
    12,319.28/16,998.64 = 7,014.20/x
  3. Step 3: Cross multiply
    12,319.28x = 16,998.64 × 7,014.20
  4. Step 4: Simplify right side
    12,319.28x = 119,231,860.69
  5. Step 5: Solve for x
    x = 119,231,860.69/12,319.28
  6. Step 6: Final answer
    x = 9,678.48

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1.5x scale

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.