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Finding the Fourth Proportional to 13,176.94, 18,184.46 and 7,209

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Solution

The fourth proportional to 13,176.94, 18,184.46 and 7,209 is: 9,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176.94 : 18,184.46 = 7,209 : x
  2. Step 2: Convert to fraction form
    13,176.94/18,184.46 = 7,209/x
  3. Step 3: Cross multiply
    13,176.94x = 18,184.46 × 7,209
  4. Step 4: Simplify right side
    13,176.94x = 131,091,772.14
  5. Step 5: Solve for x
    x = 131,091,772.14/13,176.94
  6. Step 6: Final answer
    x = 9,948.57

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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.