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Finding the Fourth Proportional to 2,840.29, 3,920.17 and 1,645.47

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Solution

The fourth proportional to 2,840.29, 3,920.17 and 1,645.47 is: 2,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.29 : 3,920.17 = 1,645.47 : x
  2. Step 2: Convert to fraction form
    2,840.29/3,920.17 = 1,645.47/x
  3. Step 3: Cross multiply
    2,840.29x = 3,920.17 × 1,645.47
  4. Step 4: Simplify right side
    2,840.29x = 6,450,518.02
  5. Step 5: Solve for x
    x = 6,450,518.02/2,840.29
  6. Step 6: Final answer
    x = 2,271.08

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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.