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Finding the Fourth Proportional to 30,980.72, 46,471.80 and 9,924.80

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Solution

The fourth proportional to 30,980.72, 46,471.80 and 9,924.80 is: 14,887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.72 : 46,471.80 = 9,924.80 : x
  2. Step 2: Convert to fraction form
    30,980.72/46,471.80 = 9,924.80/x
  3. Step 3: Cross multiply
    30,980.72x = 46,471.80 × 9,924.80
  4. Step 4: Simplify right side
    30,980.72x = 461,223,320.64
  5. Step 5: Solve for x
    x = 461,223,320.64/30,980.72
  6. Step 6: Final answer
    x = 14,887.43

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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.