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Finding the Fourth Proportional to 14,342.46, 21,508.80 and 4,980

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Solution

The fourth proportional to 14,342.46, 21,508.80 and 4,980 is: 7,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.46 : 21,508.80 = 4,980 : x
  2. Step 2: Convert to fraction form
    14,342.46/21,508.80 = 4,980/x
  3. Step 3: Cross multiply
    14,342.46x = 21,508.80 × 4,980
  4. Step 4: Simplify right side
    14,342.46x = 107,113,824
  5. Step 5: Solve for x
    x = 107,113,824/14,342.46
  6. Step 6: Final answer
    x = 7,468.30

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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.