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Finding the Fourth Proportional to 1,719.06, 2,371.64 and 972.85

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Solution

The fourth proportional to 1,719.06, 2,371.64 and 972.85 is: 1,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.06 : 2,371.64 = 972.85 : x
  2. Step 2: Convert to fraction form
    1,719.06/2,371.64 = 972.85/x
  3. Step 3: Cross multiply
    1,719.06x = 2,371.64 × 972.85
  4. Step 4: Simplify right side
    1,719.06x = 2,307,233.25
  5. Step 5: Solve for x
    x = 2,307,233.25/1,719.06
  6. Step 6: Final answer
    x = 1,342.15

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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.