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Finding the Fourth Proportional to 12,886.81, 17,784.89 and 7,221.45

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Solution

The fourth proportional to 12,886.81, 17,784.89 and 7,221.45 is: 9,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.81 : 17,784.89 = 7,221.45 : x
  2. Step 2: Convert to fraction form
    12,886.81/17,784.89 = 7,221.45/x
  3. Step 3: Cross multiply
    12,886.81x = 17,784.89 × 7,221.45
  4. Step 4: Simplify right side
    12,886.81x = 128,432,751.56
  5. Step 5: Solve for x
    x = 128,432,751.56/12,886.81
  6. Step 6: Final answer
    x = 9,966.22

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1.5x scale

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.