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Finding the Fourth Proportional to 7,235.49, 9,985.25 and 4,091.49

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Solution

The fourth proportional to 7,235.49, 9,985.25 and 4,091.49 is: 5,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.49 : 9,985.25 = 4,091.49 : x
  2. Step 2: Convert to fraction form
    7,235.49/9,985.25 = 4,091.49/x
  3. Step 3: Cross multiply
    7,235.49x = 9,985.25 × 4,091.49
  4. Step 4: Simplify right side
    7,235.49x = 40,854,530.07
  5. Step 5: Solve for x
    x = 40,854,530.07/7,235.49
  6. Step 6: Final answer
    x = 5,646.41

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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.