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Finding the Fourth Proportional to 1,762.96, 2,432.78 and 976.84

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Solution

The fourth proportional to 1,762.96, 2,432.78 and 976.84 is: 1,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.96 : 2,432.78 = 976.84 : x
  2. Step 2: Convert to fraction form
    1,762.96/2,432.78 = 976.84/x
  3. Step 3: Cross multiply
    1,762.96x = 2,432.78 × 976.84
  4. Step 4: Simplify right side
    1,762.96x = 2,376,436.82
  5. Step 5: Solve for x
    x = 2,376,436.82/1,762.96
  6. Step 6: Final answer
    x = 1,347.98

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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.