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Finding the Fourth Proportional to 30,809.60, 46,214.40 and 29,205.80

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Solution

The fourth proportional to 30,809.60, 46,214.40 and 29,205.80 is: 43,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.60 : 46,214.40 = 29,205.80 : x
  2. Step 2: Convert to fraction form
    30,809.60/46,214.40 = 29,205.80/x
  3. Step 3: Cross multiply
    30,809.60x = 46,214.40 × 29,205.80
  4. Step 4: Simplify right side
    30,809.60x = 1,349,728,523.52
  5. Step 5: Solve for x
    x = 1,349,728,523.52/30,809.60
  6. Step 6: Final answer
    x = 43,808.70

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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.