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Finding the Fourth Proportional to 5,221.45, 7,319.75 and 5,221.45

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Solution

The fourth proportional to 5,221.45, 7,319.75 and 5,221.45 is: 7,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.45 : 7,319.75 = 5,221.45 : x
  2. Step 2: Convert to fraction form
    5,221.45/7,319.75 = 5,221.45/x
  3. Step 3: Cross multiply
    5,221.45x = 7,319.75 × 5,221.45
  4. Step 4: Simplify right side
    5,221.45x = 38,219,708.64
  5. Step 5: Solve for x
    x = 38,219,708.64/5,221.45
  6. Step 6: Final answer
    x = 7,319.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.