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Finding the Fourth Proportional to 1,536.81, 2,120.00 and 898.17

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Solution

The fourth proportional to 1,536.81, 2,120.00 and 898.17 is: 1,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.81 : 2,120.00 = 898.17 : x
  2. Step 2: Convert to fraction form
    1,536.81/2,120.00 = 898.17/x
  3. Step 3: Cross multiply
    1,536.81x = 2,120.00 × 898.17
  4. Step 4: Simplify right side
    1,536.81x = 1,904,115.91
  5. Step 5: Solve for x
    x = 1,904,115.91/1,536.81
  6. Step 6: Final answer
    x = 1,239.01

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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.