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Finding the Fourth Proportional to 11,620.64, 17,430.80 and 2,855.63

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Solution

The fourth proportional to 11,620.64, 17,430.80 and 2,855.63 is: 4,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.64 : 17,430.80 = 2,855.63 : x
  2. Step 2: Convert to fraction form
    11,620.64/17,430.80 = 2,855.63/x
  3. Step 3: Cross multiply
    11,620.64x = 17,430.80 × 2,855.63
  4. Step 4: Simplify right side
    11,620.64x = 49,775,915.40
  5. Step 5: Solve for x
    x = 49,775,915.40/11,620.64
  6. Step 6: Final answer
    x = 4,283.41

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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.