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Finding the Fourth Proportional to 7,205.47, 9,941.72 and 4,018.78

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Solution

The fourth proportional to 7,205.47, 9,941.72 and 4,018.78 is: 5,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.47 : 9,941.72 = 4,018.78 : x
  2. Step 2: Convert to fraction form
    7,205.47/9,941.72 = 4,018.78/x
  3. Step 3: Cross multiply
    7,205.47x = 9,941.72 × 4,018.78
  4. Step 4: Simplify right side
    7,205.47x = 39,953,632.01
  5. Step 5: Solve for x
    x = 39,953,632.01/7,205.47
  6. Step 6: Final answer
    x = 5,544.91

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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.