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Finding the Fourth Proportional to 2,898.93, 4,340.67 and 1,976.30

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Solution

The fourth proportional to 2,898.93, 4,340.67 and 1,976.30 is: 2,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.93 : 4,340.67 = 1,976.30 : x
  2. Step 2: Convert to fraction form
    2,898.93/4,340.67 = 1,976.30/x
  3. Step 3: Cross multiply
    2,898.93x = 4,340.67 × 1,976.30
  4. Step 4: Simplify right side
    2,898.93x = 8,578,444.42
  5. Step 5: Solve for x
    x = 8,578,444.42/2,898.93
  6. Step 6: Final answer
    x = 2,959.18

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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.