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Finding the Fourth Proportional to 1,470.92, 2,208.90 and 1,409

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Solution

The fourth proportional to 1,470.92, 2,208.90 and 1,409 is: 2,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.92 : 2,208.90 = 1,409 : x
  2. Step 2: Convert to fraction form
    1,470.92/2,208.90 = 1,409/x
  3. Step 3: Cross multiply
    1,470.92x = 2,208.90 × 1,409
  4. Step 4: Simplify right side
    1,470.92x = 3,112,340.10
  5. Step 5: Solve for x
    x = 3,112,340.10/1,470.92
  6. Step 6: Final answer
    x = 2,115.91

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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.