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Finding the Fourth Proportional to 3,472.99, 5,209.43 and 840.47

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Solution

The fourth proportional to 3,472.99, 5,209.43 and 840.47 is: 1,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.99 : 5,209.43 = 840.47 : x
  2. Step 2: Convert to fraction form
    3,472.99/5,209.43 = 840.47/x
  3. Step 3: Cross multiply
    3,472.99x = 5,209.43 × 840.47
  4. Step 4: Simplify right side
    3,472.99x = 4,378,369.63
  5. Step 5: Solve for x
    x = 4,378,369.63/3,472.99
  6. Step 6: Final answer
    x = 1,260.69

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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.