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Finding the Fourth Proportional to 7,101.94, 9,797.07 and 5,420.43

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Solution

The fourth proportional to 7,101.94, 9,797.07 and 5,420.43 is: 7,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.94 : 9,797.07 = 5,420.43 : x
  2. Step 2: Convert to fraction form
    7,101.94/9,797.07 = 5,420.43/x
  3. Step 3: Cross multiply
    7,101.94x = 9,797.07 × 5,420.43
  4. Step 4: Simplify right side
    7,101.94x = 53,104,332.14
  5. Step 5: Solve for x
    x = 53,104,332.14/7,101.94
  6. Step 6: Final answer
    x = 7,477.44

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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.