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Finding the Fourth Proportional to 1,970.43, 2,719.08 and 1,086.06

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Solution

The fourth proportional to 1,970.43, 2,719.08 and 1,086.06 is: 1,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.43 : 2,719.08 = 1,086.06 : x
  2. Step 2: Convert to fraction form
    1,970.43/2,719.08 = 1,086.06/x
  3. Step 3: Cross multiply
    1,970.43x = 2,719.08 × 1,086.06
  4. Step 4: Simplify right side
    1,970.43x = 2,953,084.02
  5. Step 5: Solve for x
    x = 2,953,084.02/1,970.43
  6. Step 6: Final answer
    x = 1,498.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.