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Finding the Fourth Proportional to 31,209.60, 46,814.40 and 7,836.24

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Solution

The fourth proportional to 31,209.60, 46,814.40 and 7,836.24 is: 11,754.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.60 : 46,814.40 = 7,836.24 : x
  2. Step 2: Convert to fraction form
    31,209.60/46,814.40 = 7,836.24/x
  3. Step 3: Cross multiply
    31,209.60x = 46,814.40 × 7,836.24
  4. Step 4: Simplify right side
    31,209.60x = 366,848,873.86
  5. Step 5: Solve for x
    x = 366,848,873.86/31,209.60
  6. Step 6: Final answer
    x = 11,754.36

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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.