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Finding the Fourth Proportional to 11,899.48, 16,492.51 and 11,678.20

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Solution

The fourth proportional to 11,899.48, 16,492.51 and 11,678.20 is: 16,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.48 : 16,492.51 = 11,678.20 : x
  2. Step 2: Convert to fraction form
    11,899.48/16,492.51 = 11,678.20/x
  3. Step 3: Cross multiply
    11,899.48x = 16,492.51 × 11,678.20
  4. Step 4: Simplify right side
    11,899.48x = 192,602,830.28
  5. Step 5: Solve for x
    x = 192,602,830.28/11,899.48
  6. Step 6: Final answer
    x = 16,185.82

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.