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Finding the Fourth Proportional to 14,420.60, 21,640 and 5,655.28

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Solution

The fourth proportional to 14,420.60, 21,640 and 5,655.28 is: 8,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.60 : 21,640 = 5,655.28 : x
  2. Step 2: Convert to fraction form
    14,420.60/21,640 = 5,655.28/x
  3. Step 3: Cross multiply
    14,420.60x = 21,640 × 5,655.28
  4. Step 4: Simplify right side
    14,420.60x = 122,380,259.20
  5. Step 5: Solve for x
    x = 122,380,259.20/14,420.60
  6. Step 6: Final answer
    x = 8,486.49

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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.