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Finding the Fourth Proportional to 9,103.39, 13,655.08 and 5,205.06

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Solution

The fourth proportional to 9,103.39, 13,655.08 and 5,205.06 is: 7,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.39 : 13,655.08 = 5,205.06 : x
  2. Step 2: Convert to fraction form
    9,103.39/13,655.08 = 5,205.06/x
  3. Step 3: Cross multiply
    9,103.39x = 13,655.08 × 5,205.06
  4. Step 4: Simplify right side
    9,103.39x = 71,075,517.21
  5. Step 5: Solve for x
    x = 71,075,517.21/9,103.39
  6. Step 6: Final answer
    x = 7,807.59

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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.