Home / 1,470.83-2,203.61-982.40

Finding the Fourth Proportional to 1,470.83, 2,203.61 and 982.40

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Solution

The fourth proportional to 1,470.83, 2,203.61 and 982.40 is: 1,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.83 : 2,203.61 = 982.40 : x
  2. Step 2: Convert to fraction form
    1,470.83/2,203.61 = 982.40/x
  3. Step 3: Cross multiply
    1,470.83x = 2,203.61 × 982.40
  4. Step 4: Simplify right side
    1,470.83x = 2,164,810.53
  5. Step 5: Solve for x
    x = 2,164,810.53/1,470.83
  6. Step 6: Final answer
    x = 1,471.83

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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.