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Finding the Fourth Proportional to 5,421.78, 7,482 and 2,937.78

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Solution

The fourth proportional to 5,421.78, 7,482 and 2,937.78 is: 4,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.78 : 7,482 = 2,937.78 : x
  2. Step 2: Convert to fraction form
    5,421.78/7,482 = 2,937.78/x
  3. Step 3: Cross multiply
    5,421.78x = 7,482 × 2,937.78
  4. Step 4: Simplify right side
    5,421.78x = 21,980,469.96
  5. Step 5: Solve for x
    x = 21,980,469.96/5,421.78
  6. Step 6: Final answer
    x = 4,054.11

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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.