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Finding the Fourth Proportional to 20,516, 28,312.08 and 11,684

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Solution

The fourth proportional to 20,516, 28,312.08 and 11,684 is: 16,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516 : 28,312.08 = 11,684 : x
  2. Step 2: Convert to fraction form
    20,516/28,312.08 = 11,684/x
  3. Step 3: Cross multiply
    20,516x = 28,312.08 × 11,684
  4. Step 4: Simplify right side
    20,516x = 330,798,342.72
  5. Step 5: Solve for x
    x = 330,798,342.72/20,516
  6. Step 6: Final answer
    x = 16,123.92

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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.