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Finding the Fourth Proportional to 9,266.43, 12,784.50 and 5,284.68

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Solution

The fourth proportional to 9,266.43, 12,784.50 and 5,284.68 is: 7,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.43 : 12,784.50 = 5,284.68 : x
  2. Step 2: Convert to fraction form
    9,266.43/12,784.50 = 5,284.68/x
  3. Step 3: Cross multiply
    9,266.43x = 12,784.50 × 5,284.68
  4. Step 4: Simplify right side
    9,266.43x = 67,561,991.46
  5. Step 5: Solve for x
    x = 67,561,991.46/9,266.43
  6. Step 6: Final answer
    x = 7,291.05

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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.