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Finding the Fourth Proportional to 1,552.21, 2,141.79 and 888.93

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Solution

The fourth proportional to 1,552.21, 2,141.79 and 888.93 is: 1,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.21 : 2,141.79 = 888.93 : x
  2. Step 2: Convert to fraction form
    1,552.21/2,141.79 = 888.93/x
  3. Step 3: Cross multiply
    1,552.21x = 2,141.79 × 888.93
  4. Step 4: Simplify right side
    1,552.21x = 1,903,901.38
  5. Step 5: Solve for x
    x = 1,903,901.38/1,552.21
  6. Step 6: Final answer
    x = 1,226.57

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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.