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Finding the Fourth Proportional to 12,314.70, 16,986.51 and 7,008.39

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Solution

The fourth proportional to 12,314.70, 16,986.51 and 7,008.39 is: 9,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.70 : 16,986.51 = 7,008.39 : x
  2. Step 2: Convert to fraction form
    12,314.70/16,986.51 = 7,008.39/x
  3. Step 3: Cross multiply
    12,314.70x = 16,986.51 × 7,008.39
  4. Step 4: Simplify right side
    12,314.70x = 119,048,086.82
  5. Step 5: Solve for x
    x = 119,048,086.82/12,314.70
  6. Step 6: Final answer
    x = 9,667.15

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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.