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Finding the Fourth Proportional to 12,199.44, 16,838.48 and 7,164.40

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Solution

The fourth proportional to 12,199.44, 16,838.48 and 7,164.40 is: 9,888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.44 : 16,838.48 = 7,164.40 : x
  2. Step 2: Convert to fraction form
    12,199.44/16,838.48 = 7,164.40/x
  3. Step 3: Cross multiply
    12,199.44x = 16,838.48 × 7,164.40
  4. Step 4: Simplify right side
    12,199.44x = 120,637,606.11
  5. Step 5: Solve for x
    x = 120,637,606.11/12,199.44
  6. Step 6: Final answer
    x = 9,888.78

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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.