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Finding the Fourth Proportional to 2,929.23, 4,392.45 and 980.06

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Solution

The fourth proportional to 2,929.23, 4,392.45 and 980.06 is: 1,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.23 : 4,392.45 = 980.06 : x
  2. Step 2: Convert to fraction form
    2,929.23/4,392.45 = 980.06/x
  3. Step 3: Cross multiply
    2,929.23x = 4,392.45 × 980.06
  4. Step 4: Simplify right side
    2,929.23x = 4,304,842.58
  5. Step 5: Solve for x
    x = 4,304,842.58/2,929.23
  6. Step 6: Final answer
    x = 1,469.62

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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.