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Finding the Fourth Proportional to 11,602.78, 16,012.04 and 6,297.60

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Solution

The fourth proportional to 11,602.78, 16,012.04 and 6,297.60 is: 8,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.78 : 16,012.04 = 6,297.60 : x
  2. Step 2: Convert to fraction form
    11,602.78/16,012.04 = 6,297.60/x
  3. Step 3: Cross multiply
    11,602.78x = 16,012.04 × 6,297.60
  4. Step 4: Simplify right side
    11,602.78x = 100,837,423.10
  5. Step 5: Solve for x
    x = 100,837,423.10/11,602.78
  6. Step 6: Final answer
    x = 8,690.80

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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.