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Finding the Fourth Proportional to 3,164.66, 4,744.74 and 972.20

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Solution

The fourth proportional to 3,164.66, 4,744.74 and 972.20 is: 1,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.66 : 4,744.74 = 972.20 : x
  2. Step 2: Convert to fraction form
    3,164.66/4,744.74 = 972.20/x
  3. Step 3: Cross multiply
    3,164.66x = 4,744.74 × 972.20
  4. Step 4: Simplify right side
    3,164.66x = 4,612,836.23
  5. Step 5: Solve for x
    x = 4,612,836.23/3,164.66
  6. Step 6: Final answer
    x = 1,457.61

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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.