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Finding the Fourth Proportional to 5,973.78, 8,242.50 and 3,615.86

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Solution

The fourth proportional to 5,973.78, 8,242.50 and 3,615.86 is: 4,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.78 : 8,242.50 = 3,615.86 : x
  2. Step 2: Convert to fraction form
    5,973.78/8,242.50 = 3,615.86/x
  3. Step 3: Cross multiply
    5,973.78x = 8,242.50 × 3,615.86
  4. Step 4: Simplify right side
    5,973.78x = 29,803,726.05
  5. Step 5: Solve for x
    x = 29,803,726.05/5,973.78
  6. Step 6: Final answer
    x = 4,989.09

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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.