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Finding the Fourth Proportional to 6,553.89, 9,807.74 and 4,089.87

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Solution

The fourth proportional to 6,553.89, 9,807.74 and 4,089.87 is: 6,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.89 : 9,807.74 = 4,089.87 : x
  2. Step 2: Convert to fraction form
    6,553.89/9,807.74 = 4,089.87/x
  3. Step 3: Cross multiply
    6,553.89x = 9,807.74 × 4,089.87
  4. Step 4: Simplify right side
    6,553.89x = 40,112,381.59
  5. Step 5: Solve for x
    x = 40,112,381.59/6,553.89
  6. Step 6: Final answer
    x = 6,120.39

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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.