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Finding the Fourth Proportional to 1,891.45, 2,824.42 and 1,545.46

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Solution

The fourth proportional to 1,891.45, 2,824.42 and 1,545.46 is: 2,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.45 : 2,824.42 = 1,545.46 : x
  2. Step 2: Convert to fraction form
    1,891.45/2,824.42 = 1,545.46/x
  3. Step 3: Cross multiply
    1,891.45x = 2,824.42 × 1,545.46
  4. Step 4: Simplify right side
    1,891.45x = 4,365,028.13
  5. Step 5: Solve for x
    x = 4,365,028.13/1,891.45
  6. Step 6: Final answer
    x = 2,307.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.