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Finding the Fourth Proportional to 16,223.88, 22,368.66 and 13,538.96

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Solution

The fourth proportional to 16,223.88, 22,368.66 and 13,538.96 is: 18,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.88 : 22,368.66 = 13,538.96 : x
  2. Step 2: Convert to fraction form
    16,223.88/22,368.66 = 13,538.96/x
  3. Step 3: Cross multiply
    16,223.88x = 22,368.66 × 13,538.96
  4. Step 4: Simplify right side
    16,223.88x = 302,848,482.76
  5. Step 5: Solve for x
    x = 302,848,482.76/16,223.88
  6. Step 6: Final answer
    x = 18,666.84

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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.