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Finding the Fourth Proportional to 31,209.40, 46,808.70 and 11,477.80

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Solution

The fourth proportional to 31,209.40, 46,808.70 and 11,477.80 is: 17,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.40 : 46,808.70 = 11,477.80 : x
  2. Step 2: Convert to fraction form
    31,209.40/46,808.70 = 11,477.80/x
  3. Step 3: Cross multiply
    31,209.40x = 46,808.70 × 11,477.80
  4. Step 4: Simplify right side
    31,209.40x = 537,260,896.86
  5. Step 5: Solve for x
    x = 537,260,896.86/31,209.40
  6. Step 6: Final answer
    x = 17,214.71

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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.