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Finding the Fourth Proportional to 12,160.57, 16,781.60 and 6,571.57

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Solution

The fourth proportional to 12,160.57, 16,781.60 and 6,571.57 is: 9,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.57 : 16,781.60 = 6,571.57 : x
  2. Step 2: Convert to fraction form
    12,160.57/16,781.60 = 6,571.57/x
  3. Step 3: Cross multiply
    12,160.57x = 16,781.60 × 6,571.57
  4. Step 4: Simplify right side
    12,160.57x = 110,281,459.11
  5. Step 5: Solve for x
    x = 110,281,459.11/12,160.57
  6. Step 6: Final answer
    x = 9,068.77

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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.