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Finding the Fourth Proportional to 19,209, 26,508.42 and 10,377

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Solution

The fourth proportional to 19,209, 26,508.42 and 10,377 is: 14,320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,209 : 26,508.42 = 10,377 : x
  2. Step 2: Convert to fraction form
    19,209/26,508.42 = 10,377/x
  3. Step 3: Cross multiply
    19,209x = 26,508.42 × 10,377
  4. Step 4: Simplify right side
    19,209x = 275,077,874.34
  5. Step 5: Solve for x
    x = 275,077,874.34/19,209
  6. Step 6: Final answer
    x = 14,320.26

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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.