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Finding the Fourth Proportional to 30,808.80, 42,514.80 and 17,380.32

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Solution

The fourth proportional to 30,808.80, 42,514.80 and 17,380.32 is: 23,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808.80 : 42,514.80 = 17,380.32 : x
  2. Step 2: Convert to fraction form
    30,808.80/42,514.80 = 17,380.32/x
  3. Step 3: Cross multiply
    30,808.80x = 42,514.80 × 17,380.32
  4. Step 4: Simplify right side
    30,808.80x = 738,920,828.74
  5. Step 5: Solve for x
    x = 738,920,828.74/30,808.80
  6. Step 6: Final answer
    x = 23,984.08

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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.