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Finding the Fourth Proportional to 3,699, 5,104.96 and 2,127.40

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Solution

The fourth proportional to 3,699, 5,104.96 and 2,127.40 is: 2,936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699 : 5,104.96 = 2,127.40 : x
  2. Step 2: Convert to fraction form
    3,699/5,104.96 = 2,127.40/x
  3. Step 3: Cross multiply
    3,699x = 5,104.96 × 2,127.40
  4. Step 4: Simplify right side
    3,699x = 10,860,273.82
  5. Step 5: Solve for x
    x = 10,860,273.82/3,699
  6. Step 6: Final answer
    x = 2,936.00

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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.