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Finding the Fourth Proportional to 6,538.84, 9,810.41 and 2,097.20

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Solution

The fourth proportional to 6,538.84, 9,810.41 and 2,097.20 is: 3,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.84 : 9,810.41 = 2,097.20 : x
  2. Step 2: Convert to fraction form
    6,538.84/9,810.41 = 2,097.20/x
  3. Step 3: Cross multiply
    6,538.84x = 9,810.41 × 2,097.20
  4. Step 4: Simplify right side
    6,538.84x = 20,574,391.85
  5. Step 5: Solve for x
    x = 20,574,391.85/6,538.84
  6. Step 6: Final answer
    x = 3,146.49

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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.