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Finding the Fourth Proportional to 5,881.58, 8,822.36 and 1,985.93

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Solution

The fourth proportional to 5,881.58, 8,822.36 and 1,985.93 is: 2,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.58 : 8,822.36 = 1,985.93 : x
  2. Step 2: Convert to fraction form
    5,881.58/8,822.36 = 1,985.93/x
  3. Step 3: Cross multiply
    5,881.58x = 8,822.36 × 1,985.93
  4. Step 4: Simplify right side
    5,881.58x = 17,520,550.25
  5. Step 5: Solve for x
    x = 17,520,550.25/5,881.58
  6. Step 6: Final answer
    x = 2,978.89

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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.