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Finding the Fourth Proportional to 31,409.80, 43,345.16 and 17,980.80

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Solution

The fourth proportional to 31,409.80, 43,345.16 and 17,980.80 is: 24,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.80 : 43,345.16 = 17,980.80 : x
  2. Step 2: Convert to fraction form
    31,409.80/43,345.16 = 17,980.80/x
  3. Step 3: Cross multiply
    31,409.80x = 43,345.16 × 17,980.80
  4. Step 4: Simplify right side
    31,409.80x = 779,380,652.93
  5. Step 5: Solve for x
    x = 779,380,652.93/31,409.80
  6. Step 6: Final answer
    x = 24,813.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.