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Finding the Fourth Proportional to 14,602.91, 20,128.35 and 11,410.63

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Solution

The fourth proportional to 14,602.91, 20,128.35 and 11,410.63 is: 15,728.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.91 : 20,128.35 = 11,410.63 : x
  2. Step 2: Convert to fraction form
    14,602.91/20,128.35 = 11,410.63/x
  3. Step 3: Cross multiply
    14,602.91x = 20,128.35 × 11,410.63
  4. Step 4: Simplify right side
    14,602.91x = 229,677,154.36
  5. Step 5: Solve for x
    x = 229,677,154.36/14,602.91
  6. Step 6: Final answer
    x = 15,728.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.