Home / 1,470.64-2,028.68-1,004.08

Finding the Fourth Proportional to 1,470.64, 2,028.68 and 1,004.08

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Solution

The fourth proportional to 1,470.64, 2,028.68 and 1,004.08 is: 1,385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.64 : 2,028.68 = 1,004.08 : x
  2. Step 2: Convert to fraction form
    1,470.64/2,028.68 = 1,004.08/x
  3. Step 3: Cross multiply
    1,470.64x = 2,028.68 × 1,004.08
  4. Step 4: Simplify right side
    1,470.64x = 2,036,957.01
  5. Step 5: Solve for x
    x = 2,036,957.01/1,470.64
  6. Step 6: Final answer
    x = 1,385.08

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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.