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Finding the Fourth Proportional to 2,277.71, 3,416.36 and 891.02

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Solution

The fourth proportional to 2,277.71, 3,416.36 and 891.02 is: 1,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.71 : 3,416.36 = 891.02 : x
  2. Step 2: Convert to fraction form
    2,277.71/3,416.36 = 891.02/x
  3. Step 3: Cross multiply
    2,277.71x = 3,416.36 × 891.02
  4. Step 4: Simplify right side
    2,277.71x = 3,044,045.09
  5. Step 5: Solve for x
    x = 3,044,045.09/2,277.71
  6. Step 6: Final answer
    x = 1,336.45

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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.