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Finding the Fourth Proportional to 14,670.40, 21,989.40 and 8,101.30

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Solution

The fourth proportional to 14,670.40, 21,989.40 and 8,101.30 is: 12,143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,670.40 : 21,989.40 = 8,101.30 : x
  2. Step 2: Convert to fraction form
    14,670.40/21,989.40 = 8,101.30/x
  3. Step 3: Cross multiply
    14,670.40x = 21,989.40 × 8,101.30
  4. Step 4: Simplify right side
    14,670.40x = 178,142,726.22
  5. Step 5: Solve for x
    x = 178,142,726.22/14,670.40
  6. Step 6: Final answer
    x = 12,143.00

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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.