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Finding the Fourth Proportional to 3,420.76, 4,721.10 and 1,929

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Solution

The fourth proportional to 3,420.76, 4,721.10 and 1,929 is: 2,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.76 : 4,721.10 = 1,929 : x
  2. Step 2: Convert to fraction form
    3,420.76/4,721.10 = 1,929/x
  3. Step 3: Cross multiply
    3,420.76x = 4,721.10 × 1,929
  4. Step 4: Simplify right side
    3,420.76x = 9,107,001.90
  5. Step 5: Solve for x
    x = 9,107,001.90/3,420.76
  6. Step 6: Final answer
    x = 2,662.27

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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.