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Finding the Fourth Proportional to 1,561.94, 2,155.47 and 853.78

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Solution

The fourth proportional to 1,561.94, 2,155.47 and 853.78 is: 1,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.94 : 2,155.47 = 853.78 : x
  2. Step 2: Convert to fraction form
    1,561.94/2,155.47 = 853.78/x
  3. Step 3: Cross multiply
    1,561.94x = 2,155.47 × 853.78
  4. Step 4: Simplify right side
    1,561.94x = 1,840,284.54
  5. Step 5: Solve for x
    x = 1,840,284.54/1,561.94
  6. Step 6: Final answer
    x = 1,178.20

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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.