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Finding the Fourth Proportional to 12,861.60, 19,312.20 and 7,029.60

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Solution

The fourth proportional to 12,861.60, 19,312.20 and 7,029.60 is: 10,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.60 : 19,312.20 = 7,029.60 : x
  2. Step 2: Convert to fraction form
    12,861.60/19,312.20 = 7,029.60/x
  3. Step 3: Cross multiply
    12,861.60x = 19,312.20 × 7,029.60
  4. Step 4: Simplify right side
    12,861.60x = 135,757,041.12
  5. Step 5: Solve for x
    x = 135,757,041.12/12,861.60
  6. Step 6: Final answer
    x = 10,555.22

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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.