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Finding the Fourth Proportional to 6,553.50, 9,830.32 and 2,393.48

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Solution

The fourth proportional to 6,553.50, 9,830.32 and 2,393.48 is: 3,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.50 : 9,830.32 = 2,393.48 : x
  2. Step 2: Convert to fraction form
    6,553.50/9,830.32 = 2,393.48/x
  3. Step 3: Cross multiply
    6,553.50x = 9,830.32 × 2,393.48
  4. Step 4: Simplify right side
    6,553.50x = 23,528,674.31
  5. Step 5: Solve for x
    x = 23,528,674.31/6,553.50
  6. Step 6: Final answer
    x = 3,590.25

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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.