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Finding the Fourth Proportional to 3,147.64, 4,721.70 and 926.32

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Solution

The fourth proportional to 3,147.64, 4,721.70 and 926.32 is: 1,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.64 : 4,721.70 = 926.32 : x
  2. Step 2: Convert to fraction form
    3,147.64/4,721.70 = 926.32/x
  3. Step 3: Cross multiply
    3,147.64x = 4,721.70 × 926.32
  4. Step 4: Simplify right side
    3,147.64x = 4,373,805.14
  5. Step 5: Solve for x
    x = 4,373,805.14/3,147.64
  6. Step 6: Final answer
    x = 1,389.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.