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Finding the Fourth Proportional to 30,781.56, 46,165.68 and 9,723.24

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Solution

The fourth proportional to 30,781.56, 46,165.68 and 9,723.24 is: 14,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.56 : 46,165.68 = 9,723.24 : x
  2. Step 2: Convert to fraction form
    30,781.56/46,165.68 = 9,723.24/x
  3. Step 3: Cross multiply
    30,781.56x = 46,165.68 × 9,723.24
  4. Step 4: Simplify right side
    30,781.56x = 448,879,986.40
  5. Step 5: Solve for x
    x = 448,879,986.40/30,781.56
  6. Step 6: Final answer
    x = 14,582.76

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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.