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Finding the Fourth Proportional to 11,963.76, 17,955 and 8,291.76

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Solution

The fourth proportional to 11,963.76, 17,955 and 8,291.76 is: 12,444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.76 : 17,955 = 8,291.76 : x
  2. Step 2: Convert to fraction form
    11,963.76/17,955 = 8,291.76/x
  3. Step 3: Cross multiply
    11,963.76x = 17,955 × 8,291.76
  4. Step 4: Simplify right side
    11,963.76x = 148,878,550.80
  5. Step 5: Solve for x
    x = 148,878,550.80/11,963.76
  6. Step 6: Final answer
    x = 12,444.13

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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.