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Finding the Fourth Proportional to 12,284.55, 16,939.28 and 8,298.74

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Solution

The fourth proportional to 12,284.55, 16,939.28 and 8,298.74 is: 11,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.55 : 16,939.28 = 8,298.74 : x
  2. Step 2: Convert to fraction form
    12,284.55/16,939.28 = 8,298.74/x
  3. Step 3: Cross multiply
    12,284.55x = 16,939.28 × 8,298.74
  4. Step 4: Simplify right side
    12,284.55x = 140,574,743.60
  5. Step 5: Solve for x
    x = 140,574,743.60/12,284.55
  6. Step 6: Final answer
    x = 11,443.21

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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.