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Finding the Fourth Proportional to 2,984.43, 4,470.05 and 1,870.22

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Solution

The fourth proportional to 2,984.43, 4,470.05 and 1,870.22 is: 2,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.43 : 4,470.05 = 1,870.22 : x
  2. Step 2: Convert to fraction form
    2,984.43/4,470.05 = 1,870.22/x
  3. Step 3: Cross multiply
    2,984.43x = 4,470.05 × 1,870.22
  4. Step 4: Simplify right side
    2,984.43x = 8,359,959.24
  5. Step 5: Solve for x
    x = 8,359,959.24/2,984.43
  6. Step 6: Final answer
    x = 2,801.19

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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.