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Finding the Fourth Proportional to 14,493.76, 21,729.12 and 6,280

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Solution

The fourth proportional to 14,493.76, 21,729.12 and 6,280 is: 9,415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.76 : 21,729.12 = 6,280 : x
  2. Step 2: Convert to fraction form
    14,493.76/21,729.12 = 6,280/x
  3. Step 3: Cross multiply
    14,493.76x = 21,729.12 × 6,280
  4. Step 4: Simplify right side
    14,493.76x = 136,458,873.60
  5. Step 5: Solve for x
    x = 136,458,873.60/14,493.76
  6. Step 6: Final answer
    x = 9,415.01

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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.