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Finding the Fourth Proportional to 19,201, 26,497.38 and 10,369

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Solution

The fourth proportional to 19,201, 26,497.38 and 10,369 is: 14,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,201 : 26,497.38 = 10,369 : x
  2. Step 2: Convert to fraction form
    19,201/26,497.38 = 10,369/x
  3. Step 3: Cross multiply
    19,201x = 26,497.38 × 10,369
  4. Step 4: Simplify right side
    19,201x = 274,751,333.22
  5. Step 5: Solve for x
    x = 274,751,333.22/19,201
  6. Step 6: Final answer
    x = 14,309.22

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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.