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Finding the Fourth Proportional to 3,746.27, 5,619.36 and 972.70

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Solution

The fourth proportional to 3,746.27, 5,619.36 and 972.70 is: 1,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.27 : 5,619.36 = 972.70 : x
  2. Step 2: Convert to fraction form
    3,746.27/5,619.36 = 972.70/x
  3. Step 3: Cross multiply
    3,746.27x = 5,619.36 × 972.70
  4. Step 4: Simplify right side
    3,746.27x = 5,465,923.38
  5. Step 5: Solve for x
    x = 5,465,923.38/3,746.27
  6. Step 6: Final answer
    x = 1,459.03

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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.