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Finding the Fourth Proportional to 7,609, 11,395.58 and 6,384.28

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Solution

The fourth proportional to 7,609, 11,395.58 and 6,384.28 is: 9,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609 : 11,395.58 = 6,384.28 : x
  2. Step 2: Convert to fraction form
    7,609/11,395.58 = 6,384.28/x
  3. Step 3: Cross multiply
    7,609x = 11,395.58 × 6,384.28
  4. Step 4: Simplify right side
    7,609x = 72,752,573.48
  5. Step 5: Solve for x
    x = 72,752,573.48/7,609
  6. Step 6: Final answer
    x = 9,561.38

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1.5x scale

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.