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Finding the Fourth Proportional to 6,538.95, 9,808.42 and 2,646.09

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Solution

The fourth proportional to 6,538.95, 9,808.42 and 2,646.09 is: 3,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.95 : 9,808.42 = 2,646.09 : x
  2. Step 2: Convert to fraction form
    6,538.95/9,808.42 = 2,646.09/x
  3. Step 3: Cross multiply
    6,538.95x = 9,808.42 × 2,646.09
  4. Step 4: Simplify right side
    6,538.95x = 25,953,913.04
  5. Step 5: Solve for x
    x = 25,953,913.04/6,538.95
  6. Step 6: Final answer
    x = 3,969.13

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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.