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Finding the Fourth Proportional to 1,561.66, 2,155.06 and 853.49

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Solution

The fourth proportional to 1,561.66, 2,155.06 and 853.49 is: 1,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.66 : 2,155.06 = 853.49 : x
  2. Step 2: Convert to fraction form
    1,561.66/2,155.06 = 853.49/x
  3. Step 3: Cross multiply
    1,561.66x = 2,155.06 × 853.49
  4. Step 4: Simplify right side
    1,561.66x = 1,839,322.16
  5. Step 5: Solve for x
    x = 1,839,322.16/1,561.66
  6. Step 6: Final answer
    x = 1,177.80

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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.