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Finding the Fourth Proportional to 1,898.66, 2,844.21 and 1,509.32

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Solution

The fourth proportional to 1,898.66, 2,844.21 and 1,509.32 is: 2,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.66 : 2,844.21 = 1,509.32 : x
  2. Step 2: Convert to fraction form
    1,898.66/2,844.21 = 1,509.32/x
  3. Step 3: Cross multiply
    1,898.66x = 2,844.21 × 1,509.32
  4. Step 4: Simplify right side
    1,898.66x = 4,292,823.04
  5. Step 5: Solve for x
    x = 4,292,823.04/1,898.66
  6. Step 6: Final answer
    x = 2,260.98

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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.