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Finding the Fourth Proportional to 1,927.81, 2,890.09 and 772.93

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Solution

The fourth proportional to 1,927.81, 2,890.09 and 772.93 is: 1,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.81 : 2,890.09 = 772.93 : x
  2. Step 2: Convert to fraction form
    1,927.81/2,890.09 = 772.93/x
  3. Step 3: Cross multiply
    1,927.81x = 2,890.09 × 772.93
  4. Step 4: Simplify right side
    1,927.81x = 2,233,837.26
  5. Step 5: Solve for x
    x = 2,233,837.26/1,927.81
  6. Step 6: Final answer
    x = 1,158.74

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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.