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Finding the Fourth Proportional to 13,516, 18,652.08 and 7,628

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Solution

The fourth proportional to 13,516, 18,652.08 and 7,628 is: 10,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516 : 18,652.08 = 7,628 : x
  2. Step 2: Convert to fraction form
    13,516/18,652.08 = 7,628/x
  3. Step 3: Cross multiply
    13,516x = 18,652.08 × 7,628
  4. Step 4: Simplify right side
    13,516x = 142,278,066.24
  5. Step 5: Solve for x
    x = 142,278,066.24/13,516
  6. Step 6: Final answer
    x = 10,526.64

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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.