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Finding the Fourth Proportional to 19,405, 26,778.90 and 10,573

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Solution

The fourth proportional to 19,405, 26,778.90 and 10,573 is: 14,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,405 : 26,778.90 = 10,573 : x
  2. Step 2: Convert to fraction form
    19,405/26,778.90 = 10,573/x
  3. Step 3: Cross multiply
    19,405x = 26,778.90 × 10,573
  4. Step 4: Simplify right side
    19,405x = 283,133,309.70
  5. Step 5: Solve for x
    x = 283,133,309.70/19,405
  6. Step 6: Final answer
    x = 14,590.74

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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.