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Finding the Fourth Proportional to 20,007, 27,409.49 and 19,259.40

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Solution

The fourth proportional to 20,007, 27,409.49 and 19,259.40 is: 26,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007 : 27,409.49 = 19,259.40 : x
  2. Step 2: Convert to fraction form
    20,007/27,409.49 = 19,259.40/x
  3. Step 3: Cross multiply
    20,007x = 27,409.49 × 19,259.40
  4. Step 4: Simplify right side
    20,007x = 527,890,331.71
  5. Step 5: Solve for x
    x = 527,890,331.71/20,007
  6. Step 6: Final answer
    x = 26,385.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.