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Finding the Fourth Proportional to 1,948.26, 2,921.04 and 715.50

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Solution

The fourth proportional to 1,948.26, 2,921.04 and 715.50 is: 1,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.26 : 2,921.04 = 715.50 : x
  2. Step 2: Convert to fraction form
    1,948.26/2,921.04 = 715.50/x
  3. Step 3: Cross multiply
    1,948.26x = 2,921.04 × 715.50
  4. Step 4: Simplify right side
    1,948.26x = 2,090,004.12
  5. Step 5: Solve for x
    x = 2,090,004.12/1,948.26
  6. Step 6: Final answer
    x = 1,072.75

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Double scale
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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.