Home / 2,137.47-3,206.15-1,165.47

Finding the Fourth Proportional to 2,137.47, 3,206.15 and 1,165.47

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Solution

The fourth proportional to 2,137.47, 3,206.15 and 1,165.47 is: 1,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.47 : 3,206.15 = 1,165.47 : x
  2. Step 2: Convert to fraction form
    2,137.47/3,206.15 = 1,165.47/x
  3. Step 3: Cross multiply
    2,137.47x = 3,206.15 × 1,165.47
  4. Step 4: Simplify right side
    2,137.47x = 3,736,665.81
  5. Step 5: Solve for x
    x = 3,736,665.81/2,137.47
  6. Step 6: Final answer
    x = 1,748.17

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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.