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Finding the Fourth Proportional to 1,970.08, 2,719.55 and 1,409.58

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Solution

The fourth proportional to 1,970.08, 2,719.55 and 1,409.58 is: 1,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.08 : 2,719.55 = 1,409.58 : x
  2. Step 2: Convert to fraction form
    1,970.08/2,719.55 = 1,409.58/x
  3. Step 3: Cross multiply
    1,970.08x = 2,719.55 × 1,409.58
  4. Step 4: Simplify right side
    1,970.08x = 3,833,426.81
  5. Step 5: Solve for x
    x = 3,833,426.81/1,970.08
  6. Step 6: Final answer
    x = 1,945.83

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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.