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Finding the Fourth Proportional to 9,909.24, 13,675.18 and 5,661

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Solution

The fourth proportional to 9,909.24, 13,675.18 and 5,661 is: 7,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.24 : 13,675.18 = 5,661 : x
  2. Step 2: Convert to fraction form
    9,909.24/13,675.18 = 5,661/x
  3. Step 3: Cross multiply
    9,909.24x = 13,675.18 × 5,661
  4. Step 4: Simplify right side
    9,909.24x = 77,415,193.98
  5. Step 5: Solve for x
    x = 77,415,193.98/9,909.24
  6. Step 6: Final answer
    x = 7,812.42

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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.