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Finding the Fourth Proportional to 10,934.60, 16,377.60 and 8,461.40

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Solution

The fourth proportional to 10,934.60, 16,377.60 and 8,461.40 is: 12,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.60 : 16,377.60 = 8,461.40 : x
  2. Step 2: Convert to fraction form
    10,934.60/16,377.60 = 8,461.40/x
  3. Step 3: Cross multiply
    10,934.60x = 16,377.60 × 8,461.40
  4. Step 4: Simplify right side
    10,934.60x = 138,577,424.64
  5. Step 5: Solve for x
    x = 138,577,424.64/10,934.60
  6. Step 6: Final answer
    x = 12,673.30

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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.