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Finding the Fourth Proportional to 12,611.64, 18,918.54 and 5,214.68

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Solution

The fourth proportional to 12,611.64, 18,918.54 and 5,214.68 is: 7,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.64 : 18,918.54 = 5,214.68 : x
  2. Step 2: Convert to fraction form
    12,611.64/18,918.54 = 5,214.68/x
  3. Step 3: Cross multiply
    12,611.64x = 18,918.54 × 5,214.68
  4. Step 4: Simplify right side
    12,611.64x = 98,654,132.17
  5. Step 5: Solve for x
    x = 98,654,132.17/12,611.64
  6. Step 6: Final answer
    x = 7,822.47

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1.5x scale

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.