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Finding the Fourth Proportional to 5,997.84, 8,996.40 and 1,615.20

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Solution

The fourth proportional to 5,997.84, 8,996.40 and 1,615.20 is: 2,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.84 : 8,996.40 = 1,615.20 : x
  2. Step 2: Convert to fraction form
    5,997.84/8,996.40 = 1,615.20/x
  3. Step 3: Cross multiply
    5,997.84x = 8,996.40 × 1,615.20
  4. Step 4: Simplify right side
    5,997.84x = 14,530,985.28
  5. Step 5: Solve for x
    x = 14,530,985.28/5,997.84
  6. Step 6: Final answer
    x = 2,422.70

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1.5x scale

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.