Home / 4,282-6,420.12-1,972.24

Finding the Fourth Proportional to 4,282, 6,420.12 and 1,972.24

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Solution

The fourth proportional to 4,282, 6,420.12 and 1,972.24 is: 2,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282 : 6,420.12 = 1,972.24 : x
  2. Step 2: Convert to fraction form
    4,282/6,420.12 = 1,972.24/x
  3. Step 3: Cross multiply
    4,282x = 6,420.12 × 1,972.24
  4. Step 4: Simplify right side
    4,282x = 12,662,017.47
  5. Step 5: Solve for x
    x = 12,662,017.47/4,282
  6. Step 6: Final answer
    x = 2,957.03

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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.