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Finding the Fourth Proportional to 12,314.64, 16,994.12 and 7,009.40

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Solution

The fourth proportional to 12,314.64, 16,994.12 and 7,009.40 is: 9,672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.64 : 16,994.12 = 7,009.40 : x
  2. Step 2: Convert to fraction form
    12,314.64/16,994.12 = 7,009.40/x
  3. Step 3: Cross multiply
    12,314.64x = 16,994.12 × 7,009.40
  4. Step 4: Simplify right side
    12,314.64x = 119,118,584.73
  5. Step 5: Solve for x
    x = 119,118,584.73/12,314.64
  6. Step 6: Final answer
    x = 9,672.92

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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.