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Finding the Fourth Proportional to 5,323.86, 7,985.17 and 1,427.96

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Solution

The fourth proportional to 5,323.86, 7,985.17 and 1,427.96 is: 2,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.86 : 7,985.17 = 1,427.96 : x
  2. Step 2: Convert to fraction form
    5,323.86/7,985.17 = 1,427.96/x
  3. Step 3: Cross multiply
    5,323.86x = 7,985.17 × 1,427.96
  4. Step 4: Simplify right side
    5,323.86x = 11,402,503.35
  5. Step 5: Solve for x
    x = 11,402,503.35/5,323.86
  6. Step 6: Final answer
    x = 2,141.77

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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.