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Finding the Fourth Proportional to 12,002.61, 16,561.95 and 6,696.40

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Solution

The fourth proportional to 12,002.61, 16,561.95 and 6,696.40 is: 9,240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.61 : 16,561.95 = 6,696.40 : x
  2. Step 2: Convert to fraction form
    12,002.61/16,561.95 = 6,696.40/x
  3. Step 3: Cross multiply
    12,002.61x = 16,561.95 × 6,696.40
  4. Step 4: Simplify right side
    12,002.61x = 110,905,441.98
  5. Step 5: Solve for x
    x = 110,905,441.98/12,002.61
  6. Step 6: Final answer
    x = 9,240.11

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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.