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Finding the Fourth Proportional to 9,907.45, 13,647.49 and 7,545.49

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Solution

The fourth proportional to 9,907.45, 13,647.49 and 7,545.49 is: 10,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.45 : 13,647.49 = 7,545.49 : x
  2. Step 2: Convert to fraction form
    9,907.45/13,647.49 = 7,545.49/x
  3. Step 3: Cross multiply
    9,907.45x = 13,647.49 × 7,545.49
  4. Step 4: Simplify right side
    9,907.45x = 102,976,999.32
  5. Step 5: Solve for x
    x = 102,976,999.32/9,907.45
  6. Step 6: Final answer
    x = 10,393.90

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1.5x scale

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.