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Finding the Fourth Proportional to 6,320.52, 8,721.54 and 4,221

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Solution

The fourth proportional to 6,320.52, 8,721.54 and 4,221 is: 5,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.52 : 8,721.54 = 4,221 : x
  2. Step 2: Convert to fraction form
    6,320.52/8,721.54 = 4,221/x
  3. Step 3: Cross multiply
    6,320.52x = 8,721.54 × 4,221
  4. Step 4: Simplify right side
    6,320.52x = 36,813,620.34
  5. Step 5: Solve for x
    x = 36,813,620.34/6,320.52
  6. Step 6: Final answer
    x = 5,824.46

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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.