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Finding the Fourth Proportional to 9,274.80, 12,784.64 and 7,027.64

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Solution

The fourth proportional to 9,274.80, 12,784.64 and 7,027.64 is: 9,687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.80 : 12,784.64 = 7,027.64 : x
  2. Step 2: Convert to fraction form
    9,274.80/12,784.64 = 7,027.64/x
  3. Step 3: Cross multiply
    9,274.80x = 12,784.64 × 7,027.64
  4. Step 4: Simplify right side
    9,274.80x = 89,845,748.39
  5. Step 5: Solve for x
    x = 89,845,748.39/9,274.80
  6. Step 6: Final answer
    x = 9,687.08

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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.