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Finding the Fourth Proportional to 17,820, 26,726.56 and 5,341.60

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Solution

The fourth proportional to 17,820, 26,726.56 and 5,341.60 is: 8,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820 : 26,726.56 = 5,341.60 : x
  2. Step 2: Convert to fraction form
    17,820/26,726.56 = 5,341.60/x
  3. Step 3: Cross multiply
    17,820x = 26,726.56 × 5,341.60
  4. Step 4: Simplify right side
    17,820x = 142,762,592.90
  5. Step 5: Solve for x
    x = 142,762,592.90/17,820
  6. Step 6: Final answer
    x = 8,011.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.