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Finding the Fourth Proportional to 15,106.68, 20,849.70 and 8,817.84

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Solution

The fourth proportional to 15,106.68, 20,849.70 and 8,817.84 is: 12,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.68 : 20,849.70 = 8,817.84 : x
  2. Step 2: Convert to fraction form
    15,106.68/20,849.70 = 8,817.84/x
  3. Step 3: Cross multiply
    15,106.68x = 20,849.70 × 8,817.84
  4. Step 4: Simplify right side
    15,106.68x = 183,849,318.65
  5. Step 5: Solve for x
    x = 183,849,318.65/15,106.68
  6. Step 6: Final answer
    x = 12,170.07

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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.