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Finding the Fourth Proportional to 14,549.76, 20,088 and 8,964

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Solution

The fourth proportional to 14,549.76, 20,088 and 8,964 is: 12,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.76 : 20,088 = 8,964 : x
  2. Step 2: Convert to fraction form
    14,549.76/20,088 = 8,964/x
  3. Step 3: Cross multiply
    14,549.76x = 20,088 × 8,964
  4. Step 4: Simplify right side
    14,549.76x = 180,068,832
  5. Step 5: Solve for x
    x = 180,068,832/14,549.76
  6. Step 6: Final answer
    x = 12,376.07

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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.