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Finding the Fourth Proportional to 1,592.86, 2,386.50 and 976.42

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Solution

The fourth proportional to 1,592.86, 2,386.50 and 976.42 is: 1,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.86 : 2,386.50 = 976.42 : x
  2. Step 2: Convert to fraction form
    1,592.86/2,386.50 = 976.42/x
  3. Step 3: Cross multiply
    1,592.86x = 2,386.50 × 976.42
  4. Step 4: Simplify right side
    1,592.86x = 2,330,226.33
  5. Step 5: Solve for x
    x = 2,330,226.33/1,592.86
  6. Step 6: Final answer
    x = 1,462.92

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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.