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Finding the Fourth Proportional to 5,967.36, 8,931.96 and 3,989.16

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Solution

The fourth proportional to 5,967.36, 8,931.96 and 3,989.16 is: 5,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.36 : 8,931.96 = 3,989.16 : x
  2. Step 2: Convert to fraction form
    5,967.36/8,931.96 = 3,989.16/x
  3. Step 3: Cross multiply
    5,967.36x = 8,931.96 × 3,989.16
  4. Step 4: Simplify right side
    5,967.36x = 35,631,017.55
  5. Step 5: Solve for x
    x = 35,631,017.55/5,967.36
  6. Step 6: Final answer
    x = 5,970.99

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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.