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Finding the Fourth Proportional to 13,187.70, 19,781.55 and 3,953.70

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Solution

The fourth proportional to 13,187.70, 19,781.55 and 3,953.70 is: 5,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.70 : 19,781.55 = 3,953.70 : x
  2. Step 2: Convert to fraction form
    13,187.70/19,781.55 = 3,953.70/x
  3. Step 3: Cross multiply
    13,187.70x = 19,781.55 × 3,953.70
  4. Step 4: Simplify right side
    13,187.70x = 78,210,314.24
  5. Step 5: Solve for x
    x = 78,210,314.24/13,187.70
  6. Step 6: Final answer
    x = 5,930.55

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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.