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Finding the Fourth Proportional to 13,000.72, 19,478.84 and 10,934.08

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Solution

The fourth proportional to 13,000.72, 19,478.84 and 10,934.08 is: 16,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.72 : 19,478.84 = 10,934.08 : x
  2. Step 2: Convert to fraction form
    13,000.72/19,478.84 = 10,934.08/x
  3. Step 3: Cross multiply
    13,000.72x = 19,478.84 × 10,934.08
  4. Step 4: Simplify right side
    13,000.72x = 212,983,194.87
  5. Step 5: Solve for x
    x = 212,983,194.87/13,000.72
  6. Step 6: Final answer
    x = 16,382.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.