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Finding the Fourth Proportional to 12,002.55, 16,561.87 and 6,696.34

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Solution

The fourth proportional to 12,002.55, 16,561.87 and 6,696.34 is: 9,240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.55 : 16,561.87 = 6,696.34 : x
  2. Step 2: Convert to fraction form
    12,002.55/16,561.87 = 6,696.34/x
  3. Step 3: Cross multiply
    12,002.55x = 16,561.87 × 6,696.34
  4. Step 4: Simplify right side
    12,002.55x = 110,903,854.41
  5. Step 5: Solve for x
    x = 110,903,854.41/12,002.55
  6. Step 6: Final answer
    x = 9,240.03

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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.