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Finding the Fourth Proportional to 1,561.59, 2,154.98 and 853.44

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Solution

The fourth proportional to 1,561.59, 2,154.98 and 853.44 is: 1,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.59 : 2,154.98 = 853.44 : x
  2. Step 2: Convert to fraction form
    1,561.59/2,154.98 = 853.44/x
  3. Step 3: Cross multiply
    1,561.59x = 2,154.98 × 853.44
  4. Step 4: Simplify right side
    1,561.59x = 1,839,140.18
  5. Step 5: Solve for x
    x = 1,839,140.18/1,561.59
  6. Step 6: Final answer
    x = 1,177.74

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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.