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Finding the Fourth Proportional to 26,580, 36,679.68 and 14,643.21

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Solution

The fourth proportional to 26,580, 36,679.68 and 14,643.21 is: 20,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,580 : 36,679.68 = 14,643.21 : x
  2. Step 2: Convert to fraction form
    26,580/36,679.68 = 14,643.21/x
  3. Step 3: Cross multiply
    26,580x = 36,679.68 × 14,643.21
  4. Step 4: Simplify right side
    26,580x = 537,108,256.97
  5. Step 5: Solve for x
    x = 537,108,256.97/26,580
  6. Step 6: Final answer
    x = 20,207.23

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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.