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Finding the Fourth Proportional to 31,159.74, 46,739.74 and 7,786.20

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Solution

The fourth proportional to 31,159.74, 46,739.74 and 7,786.20 is: 11,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.74 : 46,739.74 = 7,786.20 : x
  2. Step 2: Convert to fraction form
    31,159.74/46,739.74 = 7,786.20/x
  3. Step 3: Cross multiply
    31,159.74x = 46,739.74 × 7,786.20
  4. Step 4: Simplify right side
    31,159.74x = 363,924,963.59
  5. Step 5: Solve for x
    x = 363,924,963.59/31,159.74
  6. Step 6: Final answer
    x = 11,679.33

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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.