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Finding the Fourth Proportional to 1,953.06, 2,927.04 and 1,489.14

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Solution

The fourth proportional to 1,953.06, 2,927.04 and 1,489.14 is: 2,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.06 : 2,927.04 = 1,489.14 : x
  2. Step 2: Convert to fraction form
    1,953.06/2,927.04 = 1,489.14/x
  3. Step 3: Cross multiply
    1,953.06x = 2,927.04 × 1,489.14
  4. Step 4: Simplify right side
    1,953.06x = 4,358,772.35
  5. Step 5: Solve for x
    x = 4,358,772.35/1,953.06
  6. Step 6: Final answer
    x = 2,231.77

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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.