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Finding the Fourth Proportional to 9,188.64, 13,782.96 and 5,290.92

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Solution

The fourth proportional to 9,188.64, 13,782.96 and 5,290.92 is: 7,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.64 : 13,782.96 = 5,290.92 : x
  2. Step 2: Convert to fraction form
    9,188.64/13,782.96 = 5,290.92/x
  3. Step 3: Cross multiply
    9,188.64x = 13,782.96 × 5,290.92
  4. Step 4: Simplify right side
    9,188.64x = 72,924,538.72
  5. Step 5: Solve for x
    x = 72,924,538.72/9,188.64
  6. Step 6: Final answer
    x = 7,936.38

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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.