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Finding the Fourth Proportional to 5,167, 7,123.80 and 4,221.80

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Solution

The fourth proportional to 5,167, 7,123.80 and 4,221.80 is: 5,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167 : 7,123.80 = 4,221.80 : x
  2. Step 2: Convert to fraction form
    5,167/7,123.80 = 4,221.80/x
  3. Step 3: Cross multiply
    5,167x = 7,123.80 × 4,221.80
  4. Step 4: Simplify right side
    5,167x = 30,075,258.84
  5. Step 5: Solve for x
    x = 30,075,258.84/5,167
  6. Step 6: Final answer
    x = 5,820.64

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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.