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Finding the Fourth Proportional to 19,247, 26,560.94 and 10,415

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Solution

The fourth proportional to 19,247, 26,560.94 and 10,415 is: 14,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,247 : 26,560.94 = 10,415 : x
  2. Step 2: Convert to fraction form
    19,247/26,560.94 = 10,415/x
  3. Step 3: Cross multiply
    19,247x = 26,560.94 × 10,415
  4. Step 4: Simplify right side
    19,247x = 276,632,190.10
  5. Step 5: Solve for x
    x = 276,632,190.10/19,247
  6. Step 6: Final answer
    x = 14,372.74

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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.