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Finding the Fourth Proportional to 30,964, 42,714.69 and 18,209.07

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Solution

The fourth proportional to 30,964, 42,714.69 and 18,209.07 is: 25,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964 : 42,714.69 = 18,209.07 : x
  2. Step 2: Convert to fraction form
    30,964/42,714.69 = 18,209.07/x
  3. Step 3: Cross multiply
    30,964x = 42,714.69 × 18,209.07
  4. Step 4: Simplify right side
    30,964x = 777,794,780.24
  5. Step 5: Solve for x
    x = 777,794,780.24/30,964
  6. Step 6: Final answer
    x = 25,119.33

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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.