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Finding the Fourth Proportional to 12,890.16, 17,785.56 and 8,180.40

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Solution

The fourth proportional to 12,890.16, 17,785.56 and 8,180.40 is: 11,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.16 : 17,785.56 = 8,180.40 : x
  2. Step 2: Convert to fraction form
    12,890.16/17,785.56 = 8,180.40/x
  3. Step 3: Cross multiply
    12,890.16x = 17,785.56 × 8,180.40
  4. Step 4: Simplify right side
    12,890.16x = 145,492,995.02
  5. Step 5: Solve for x
    x = 145,492,995.02/12,890.16
  6. Step 6: Final answer
    x = 11,287.14

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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.