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Finding the Fourth Proportional to 9,409.52, 14,121.05 and 7,582.70

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Solution

The fourth proportional to 9,409.52, 14,121.05 and 7,582.70 is: 11,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.52 : 14,121.05 = 7,582.70 : x
  2. Step 2: Convert to fraction form
    9,409.52/14,121.05 = 7,582.70/x
  3. Step 3: Cross multiply
    9,409.52x = 14,121.05 × 7,582.70
  4. Step 4: Simplify right side
    9,409.52x = 107,075,577.32
  5. Step 5: Solve for x
    x = 107,075,577.32/9,409.52
  6. Step 6: Final answer
    x = 11,379.50

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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.