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Finding the Fourth Proportional to 1,773.65, 2,447.48 and 976.82

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Solution

The fourth proportional to 1,773.65, 2,447.48 and 976.82 is: 1,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.65 : 2,447.48 = 976.82 : x
  2. Step 2: Convert to fraction form
    1,773.65/2,447.48 = 976.82/x
  3. Step 3: Cross multiply
    1,773.65x = 2,447.48 × 976.82
  4. Step 4: Simplify right side
    1,773.65x = 2,390,730.29
  5. Step 5: Solve for x
    x = 2,390,730.29/1,773.65
  6. Step 6: Final answer
    x = 1,347.92

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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.