Home / 9,722.24-13,416-7,631.36

Finding the Fourth Proportional to 9,722.24, 13,416 and 7,631.36

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Solution

The fourth proportional to 9,722.24, 13,416 and 7,631.36 is: 10,530.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.24 : 13,416 = 7,631.36 : x
  2. Step 2: Convert to fraction form
    9,722.24/13,416 = 7,631.36/x
  3. Step 3: Cross multiply
    9,722.24x = 13,416 × 7,631.36
  4. Step 4: Simplify right side
    9,722.24x = 102,382,325.76
  5. Step 5: Solve for x
    x = 102,382,325.76/9,722.24
  6. Step 6: Final answer
    x = 10,530.73

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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.