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Finding the Fourth Proportional to 5,353.76, 7,390.76 and 3,564.20

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Solution

The fourth proportional to 5,353.76, 7,390.76 and 3,564.20 is: 4,920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.76 : 7,390.76 = 3,564.20 : x
  2. Step 2: Convert to fraction form
    5,353.76/7,390.76 = 3,564.20/x
  3. Step 3: Cross multiply
    5,353.76x = 7,390.76 × 3,564.20
  4. Step 4: Simplify right side
    5,353.76x = 26,342,147.45
  5. Step 5: Solve for x
    x = 26,342,147.45/5,353.76
  6. Step 6: Final answer
    x = 4,920.31

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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.