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Finding the Fourth Proportional to 11,605.44, 16,007.58 and 7,411.80

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Solution

The fourth proportional to 11,605.44, 16,007.58 and 7,411.80 is: 10,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.44 : 16,007.58 = 7,411.80 : x
  2. Step 2: Convert to fraction form
    11,605.44/16,007.58 = 7,411.80/x
  3. Step 3: Cross multiply
    11,605.44x = 16,007.58 × 7,411.80
  4. Step 4: Simplify right side
    11,605.44x = 118,644,981.44
  5. Step 5: Solve for x
    x = 118,644,981.44/11,605.44
  6. Step 6: Final answer
    x = 10,223.22

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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.