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Finding the Fourth Proportional to 5,329.64, 7,354.86 and 2,971.64

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Solution

The fourth proportional to 5,329.64, 7,354.86 and 2,971.64 is: 4,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.64 : 7,354.86 = 2,971.64 : x
  2. Step 2: Convert to fraction form
    5,329.64/7,354.86 = 2,971.64/x
  3. Step 3: Cross multiply
    5,329.64x = 7,354.86 × 2,971.64
  4. Step 4: Simplify right side
    5,329.64x = 21,855,996.17
  5. Step 5: Solve for x
    x = 21,855,996.17/5,329.64
  6. Step 6: Final answer
    x = 4,100.84

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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.