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Finding the Fourth Proportional to 31,186.56, 46,780.14 and 7,813.08

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Solution

The fourth proportional to 31,186.56, 46,780.14 and 7,813.08 is: 11,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,186.56 : 46,780.14 = 7,813.08 : x
  2. Step 2: Convert to fraction form
    31,186.56/46,780.14 = 7,813.08/x
  3. Step 3: Cross multiply
    31,186.56x = 46,780.14 × 7,813.08
  4. Step 4: Simplify right side
    31,186.56x = 365,496,976.23
  5. Step 5: Solve for x
    x = 365,496,976.23/31,186.56
  6. Step 6: Final answer
    x = 11,719.70

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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.