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Finding the Fourth Proportional to 12,191.60, 16,824.57 and 7,159.64

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Solution

The fourth proportional to 12,191.60, 16,824.57 and 7,159.64 is: 9,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.60 : 16,824.57 = 7,159.64 : x
  2. Step 2: Convert to fraction form
    12,191.60/16,824.57 = 7,159.64/x
  3. Step 3: Cross multiply
    12,191.60x = 16,824.57 × 7,159.64
  4. Step 4: Simplify right side
    12,191.60x = 120,457,864.35
  5. Step 5: Solve for x
    x = 120,457,864.35/12,191.60
  6. Step 6: Final answer
    x = 9,880.40

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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.