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Finding the Fourth Proportional to 13,522.58, 18,659.80 and 7,779.88

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Solution

The fourth proportional to 13,522.58, 18,659.80 and 7,779.88 is: 10,735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.58 : 18,659.80 = 7,779.88 : x
  2. Step 2: Convert to fraction form
    13,522.58/18,659.80 = 7,779.88/x
  3. Step 3: Cross multiply
    13,522.58x = 18,659.80 × 7,779.88
  4. Step 4: Simplify right side
    13,522.58x = 145,171,004.82
  5. Step 5: Solve for x
    x = 145,171,004.82/13,522.58
  6. Step 6: Final answer
    x = 10,735.45

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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.