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Finding the Fourth Proportional to 11,611.99, 16,007.22 and 7,132.29

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Solution

The fourth proportional to 11,611.99, 16,007.22 and 7,132.29 is: 9,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.99 : 16,007.22 = 7,132.29 : x
  2. Step 2: Convert to fraction form
    11,611.99/16,007.22 = 7,132.29/x
  3. Step 3: Cross multiply
    11,611.99x = 16,007.22 × 7,132.29
  4. Step 4: Simplify right side
    11,611.99x = 114,168,075.11
  5. Step 5: Solve for x
    x = 114,168,075.11/11,611.99
  6. Step 6: Final answer
    x = 9,831.91

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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.