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Finding the Fourth Proportional to 2,798.85, 3,862.23 and 1,539.66

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Solution

The fourth proportional to 2,798.85, 3,862.23 and 1,539.66 is: 2,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.85 : 3,862.23 = 1,539.66 : x
  2. Step 2: Convert to fraction form
    2,798.85/3,862.23 = 1,539.66/x
  3. Step 3: Cross multiply
    2,798.85x = 3,862.23 × 1,539.66
  4. Step 4: Simplify right side
    2,798.85x = 5,946,521.04
  5. Step 5: Solve for x
    x = 5,946,521.04/2,798.85
  6. Step 6: Final answer
    x = 2,124.63

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1.5x scale

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.