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Finding the Fourth Proportional to 1,473.84, 2,211.77 and 953.61

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Solution

The fourth proportional to 1,473.84, 2,211.77 and 953.61 is: 1,431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.84 : 2,211.77 = 953.61 : x
  2. Step 2: Convert to fraction form
    1,473.84/2,211.77 = 953.61/x
  3. Step 3: Cross multiply
    1,473.84x = 2,211.77 × 953.61
  4. Step 4: Simplify right side
    1,473.84x = 2,109,166.75
  5. Step 5: Solve for x
    x = 2,109,166.75/1,473.84
  6. Step 6: Final answer
    x = 1,431.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.