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Finding the Fourth Proportional to 13,516, 20,284.92 and 5,730.28

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Solution

The fourth proportional to 13,516, 20,284.92 and 5,730.28 is: 8,600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516 : 20,284.92 = 5,730.28 : x
  2. Step 2: Convert to fraction form
    13,516/20,284.92 = 5,730.28/x
  3. Step 3: Cross multiply
    13,516x = 20,284.92 × 5,730.28
  4. Step 4: Simplify right side
    13,516x = 116,238,271.38
  5. Step 5: Solve for x
    x = 116,238,271.38/13,516
  6. Step 6: Final answer
    x = 8,600.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.