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Finding the Fourth Proportional to 1,898.72, 2,621.12 and 1,520

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Solution

The fourth proportional to 1,898.72, 2,621.12 and 1,520 is: 2,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.72 : 2,621.12 = 1,520 : x
  2. Step 2: Convert to fraction form
    1,898.72/2,621.12 = 1,520/x
  3. Step 3: Cross multiply
    1,898.72x = 2,621.12 × 1,520
  4. Step 4: Simplify right side
    1,898.72x = 3,984,102.40
  5. Step 5: Solve for x
    x = 3,984,102.40/1,898.72
  6. Step 6: Final answer
    x = 2,098.31

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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.