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Finding the Fourth Proportional to 5,221, 7,208.34 and 4,660.51

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Solution

The fourth proportional to 5,221, 7,208.34 and 4,660.51 is: 6,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221 : 7,208.34 = 4,660.51 : x
  2. Step 2: Convert to fraction form
    5,221/7,208.34 = 4,660.51/x
  3. Step 3: Cross multiply
    5,221x = 7,208.34 × 4,660.51
  4. Step 4: Simplify right side
    5,221x = 33,594,540.65
  5. Step 5: Solve for x
    x = 33,594,540.65/5,221
  6. Step 6: Final answer
    x = 6,434.50

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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.